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Finding the Third Proportional to 25,049.25 and 39,634.31

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Solution

The third proportional to 25,049.25 and 39,634.31 is: 62,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.25 : 39,634.31 = 39,634.31 : x
  2. Step 2: Convert to fraction form
    25,049.25/39,634.31 = 39,634.31/x
  3. Step 3: Cross multiply
    25,049.25x = 39,634.31 × 39,634.31
  4. Step 4: Simplify right side
    25,049.25x = 1,570,878,727.35
  5. Step 5: Solve for x
    x = 1,570,878,727.35/25,049.25
  6. Step 6: Final answer
    x = 62,711.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.