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Finding the Third Proportional to 24,397 and 36,787

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Solution

The third proportional to 24,397 and 36,787 is: 55,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397 : 36,787 = 36,787 : x
  2. Step 2: Convert to fraction form
    24,397/36,787 = 36,787/x
  3. Step 3: Cross multiply
    24,397x = 36,787 × 36,787
  4. Step 4: Simplify right side
    24,397x = 1,353,283,369
  5. Step 5: Solve for x
    x = 1,353,283,369/24,397
  6. Step 6: Final answer
    x = 55,469.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.