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Finding the Third Proportional to 17,691.75 and 26,065.13

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Solution

The third proportional to 17,691.75 and 26,065.13 is: 38,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.75 : 26,065.13 = 26,065.13 : x
  2. Step 2: Convert to fraction form
    17,691.75/26,065.13 = 26,065.13/x
  3. Step 3: Cross multiply
    17,691.75x = 26,065.13 × 26,065.13
  4. Step 4: Simplify right side
    17,691.75x = 679,390,741.27
  5. Step 5: Solve for x
    x = 679,390,741.27/17,691.75
  6. Step 6: Final answer
    x = 38,401.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.