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Finding the Third Proportional to 39,459 and 57,721.50

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Solution

The third proportional to 39,459 and 57,721.50 is: 84,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,459 : 57,721.50 = 57,721.50 : x
  2. Step 2: Convert to fraction form
    39,459/57,721.50 = 57,721.50/x
  3. Step 3: Cross multiply
    39,459x = 57,721.50 × 57,721.50
  4. Step 4: Simplify right side
    39,459x = 3,331,771,562.25
  5. Step 5: Solve for x
    x = 3,331,771,562.25/39,459
  6. Step 6: Final answer
    x = 84,436.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.