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Finding the Third Proportional to 24,122 and 31,791

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Solution

The third proportional to 24,122 and 31,791 is: 41,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 31,791 = 31,791 : x
  2. Step 2: Convert to fraction form
    24,122/31,791 = 31,791/x
  3. Step 3: Cross multiply
    24,122x = 31,791 × 31,791
  4. Step 4: Simplify right side
    24,122x = 1,010,667,681
  5. Step 5: Solve for x
    x = 1,010,667,681/24,122
  6. Step 6: Final answer
    x = 41,898.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.