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Finding the Third Proportional to 24,777 and 38,376

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Solution

The third proportional to 24,777 and 38,376 is: 59,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777 : 38,376 = 38,376 : x
  2. Step 2: Convert to fraction form
    24,777/38,376 = 38,376/x
  3. Step 3: Cross multiply
    24,777x = 38,376 × 38,376
  4. Step 4: Simplify right side
    24,777x = 1,472,717,376
  5. Step 5: Solve for x
    x = 1,472,717,376/24,777
  6. Step 6: Final answer
    x = 59,438.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.