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Finding the Third Proportional to 24,484 and 34,694

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Solution

The third proportional to 24,484 and 34,694 is: 49,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484 : 34,694 = 34,694 : x
  2. Step 2: Convert to fraction form
    24,484/34,694 = 34,694/x
  3. Step 3: Cross multiply
    24,484x = 34,694 × 34,694
  4. Step 4: Simplify right side
    24,484x = 1,203,673,636
  5. Step 5: Solve for x
    x = 1,203,673,636/24,484
  6. Step 6: Final answer
    x = 49,161.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.