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Finding the Third Proportional to 39,584 and 59,754

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Solution

The third proportional to 39,584 and 59,754 is: 90,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 59,754 = 59,754 : x
  2. Step 2: Convert to fraction form
    39,584/59,754 = 59,754/x
  3. Step 3: Cross multiply
    39,584x = 59,754 × 59,754
  4. Step 4: Simplify right side
    39,584x = 3,570,540,516
  5. Step 5: Solve for x
    x = 3,570,540,516/39,584
  6. Step 6: Final answer
    x = 90,201.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.