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Finding the Third Proportional to 39,893.31 and 59,069.69

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Solution

The third proportional to 39,893.31 and 59,069.69 is: 87,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,893.31 : 59,069.69 = 59,069.69 : x
  2. Step 2: Convert to fraction form
    39,893.31/59,069.69 = 59,069.69/x
  3. Step 3: Cross multiply
    39,893.31x = 59,069.69 × 59,069.69
  4. Step 4: Simplify right side
    39,893.31x = 3,489,227,981.35
  5. Step 5: Solve for x
    x = 3,489,227,981.35/39,893.31
  6. Step 6: Final answer
    x = 87,463.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.