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Finding the Third Proportional to 39,660 and 59,494

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Solution

The third proportional to 39,660 and 59,494 is: 89,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,660 : 59,494 = 59,494 : x
  2. Step 2: Convert to fraction form
    39,660/59,494 = 59,494/x
  3. Step 3: Cross multiply
    39,660x = 59,494 × 59,494
  4. Step 4: Simplify right side
    39,660x = 3,539,536,036
  5. Step 5: Solve for x
    x = 3,539,536,036/39,660
  6. Step 6: Final answer
    x = 89,247.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.