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Finding the Third Proportional to 24,642 and 37,917

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Solution

The third proportional to 24,642 and 37,917 is: 58,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642 : 37,917 = 37,917 : x
  2. Step 2: Convert to fraction form
    24,642/37,917 = 37,917/x
  3. Step 3: Cross multiply
    24,642x = 37,917 × 37,917
  4. Step 4: Simplify right side
    24,642x = 1,437,698,889
  5. Step 5: Solve for x
    x = 1,437,698,889/24,642
  6. Step 6: Final answer
    x = 58,343.43

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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.