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Finding the Third Proportional to 24,313 and 34,767

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Solution

The third proportional to 24,313 and 34,767 is: 49,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313 : 34,767 = 34,767 : x
  2. Step 2: Convert to fraction form
    24,313/34,767 = 34,767/x
  3. Step 3: Cross multiply
    24,313x = 34,767 × 34,767
  4. Step 4: Simplify right side
    24,313x = 1,208,744,289
  5. Step 5: Solve for x
    x = 1,208,744,289/24,313
  6. Step 6: Final answer
    x = 49,715.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.