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Finding the Third Proportional to 35,624.25 and 77,860.50

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Solution

The third proportional to 35,624.25 and 77,860.50 is: 170,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624.25 : 77,860.50 = 77,860.50 : x
  2. Step 2: Convert to fraction form
    35,624.25/77,860.50 = 77,860.50/x
  3. Step 3: Cross multiply
    35,624.25x = 77,860.50 × 77,860.50
  4. Step 4: Simplify right side
    35,624.25x = 6,062,257,460.25
  5. Step 5: Solve for x
    x = 6,062,257,460.25/35,624.25
  6. Step 6: Final answer
    x = 170,172.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.