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Finding the Third Proportional to 24,626 and 37,891

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Solution

The third proportional to 24,626 and 37,891 is: 58,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626 : 37,891 = 37,891 : x
  2. Step 2: Convert to fraction form
    24,626/37,891 = 37,891/x
  3. Step 3: Cross multiply
    24,626x = 37,891 × 37,891
  4. Step 4: Simplify right side
    24,626x = 1,435,727,881
  5. Step 5: Solve for x
    x = 1,435,727,881/24,626
  6. Step 6: Final answer
    x = 58,301.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.