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Finding the Third Proportional to 25,939.13 and 39,142.69

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Solution

The third proportional to 25,939.13 and 39,142.69 is: 59,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,939.13 : 39,142.69 = 39,142.69 : x
  2. Step 2: Convert to fraction form
    25,939.13/39,142.69 = 39,142.69/x
  3. Step 3: Cross multiply
    25,939.13x = 39,142.69 × 39,142.69
  4. Step 4: Simplify right side
    25,939.13x = 1,532,149,984.72
  5. Step 5: Solve for x
    x = 1,532,149,984.72/25,939.13
  6. Step 6: Final answer
    x = 59,067.14

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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.