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Finding the Third Proportional to 24,738 and 37,924

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Solution

The third proportional to 24,738 and 37,924 is: 58,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738 : 37,924 = 37,924 : x
  2. Step 2: Convert to fraction form
    24,738/37,924 = 37,924/x
  3. Step 3: Cross multiply
    24,738x = 37,924 × 37,924
  4. Step 4: Simplify right side
    24,738x = 1,438,229,776
  5. Step 5: Solve for x
    x = 1,438,229,776/24,738
  6. Step 6: Final answer
    x = 58,138.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.