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Finding the Third Proportional to 35,473 and 55,657.50

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Solution

The third proportional to 35,473 and 55,657.50 is: 87,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473 : 55,657.50 = 55,657.50 : x
  2. Step 2: Convert to fraction form
    35,473/55,657.50 = 55,657.50/x
  3. Step 3: Cross multiply
    35,473x = 55,657.50 × 55,657.50
  4. Step 4: Simplify right side
    35,473x = 3,097,757,306.25
  5. Step 5: Solve for x
    x = 3,097,757,306.25/35,473
  6. Step 6: Final answer
    x = 87,327.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.