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Finding the Third Proportional to 25,732.69 and 39,097.69

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Solution

The third proportional to 25,732.69 and 39,097.69 is: 59,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.69 : 39,097.69 = 39,097.69 : x
  2. Step 2: Convert to fraction form
    25,732.69/39,097.69 = 39,097.69/x
  3. Step 3: Cross multiply
    25,732.69x = 39,097.69 × 39,097.69
  4. Step 4: Simplify right side
    25,732.69x = 1,528,629,167.85
  5. Step 5: Solve for x
    x = 1,528,629,167.85/25,732.69
  6. Step 6: Final answer
    x = 59,404.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.