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Finding the Third Proportional to 24,366 and 38,767

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Solution

The third proportional to 24,366 and 38,767 is: 61,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366 : 38,767 = 38,767 : x
  2. Step 2: Convert to fraction form
    24,366/38,767 = 38,767/x
  3. Step 3: Cross multiply
    24,366x = 38,767 × 38,767
  4. Step 4: Simplify right side
    24,366x = 1,502,880,289
  5. Step 5: Solve for x
    x = 1,502,880,289/24,366
  6. Step 6: Final answer
    x = 61,679.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.