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Finding the Third Proportional to 24,174 and 36,981

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Solution

The third proportional to 24,174 and 36,981 is: 56,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174 : 36,981 = 36,981 : x
  2. Step 2: Convert to fraction form
    24,174/36,981 = 36,981/x
  3. Step 3: Cross multiply
    24,174x = 36,981 × 36,981
  4. Step 4: Simplify right side
    24,174x = 1,367,594,361
  5. Step 5: Solve for x
    x = 1,367,594,361/24,174
  6. Step 6: Final answer
    x = 56,572.94

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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.