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Finding the Third Proportional to 25,717.22 and 38,575.97

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Solution

The third proportional to 25,717.22 and 38,575.97 is: 57,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.22 : 38,575.97 = 38,575.97 : x
  2. Step 2: Convert to fraction form
    25,717.22/38,575.97 = 38,575.97/x
  3. Step 3: Cross multiply
    25,717.22x = 38,575.97 × 38,575.97
  4. Step 4: Simplify right side
    25,717.22x = 1,488,105,365.00
  5. Step 5: Solve for x
    x = 1,488,105,365.00/25,717.22
  6. Step 6: Final answer
    x = 57,864.16

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Why These Related Problems?

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