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Finding the Third Proportional to 42,472 and 59,404

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Solution

The third proportional to 42,472 and 59,404 is: 83,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472 : 59,404 = 59,404 : x
  2. Step 2: Convert to fraction form
    42,472/59,404 = 59,404/x
  3. Step 3: Cross multiply
    42,472x = 59,404 × 59,404
  4. Step 4: Simplify right side
    42,472x = 3,528,835,216
  5. Step 5: Solve for x
    x = 3,528,835,216/42,472
  6. Step 6: Final answer
    x = 83,086.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.