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Finding the Third Proportional to 8,228.25 and 17,860.50

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Solution

The third proportional to 8,228.25 and 17,860.50 is: 38,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.25 : 17,860.50 = 17,860.50 : x
  2. Step 2: Convert to fraction form
    8,228.25/17,860.50 = 17,860.50/x
  3. Step 3: Cross multiply
    8,228.25x = 17,860.50 × 17,860.50
  4. Step 4: Simplify right side
    8,228.25x = 318,997,460.25
  5. Step 5: Solve for x
    x = 318,997,460.25/8,228.25
  6. Step 6: Final answer
    x = 38,768.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.