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Finding the Third Proportional to 24,661 and 34,895

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Solution

The third proportional to 24,661 and 34,895 is: 49,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661 : 34,895 = 34,895 : x
  2. Step 2: Convert to fraction form
    24,661/34,895 = 34,895/x
  3. Step 3: Cross multiply
    24,661x = 34,895 × 34,895
  4. Step 4: Simplify right side
    24,661x = 1,217,661,025
  5. Step 5: Solve for x
    x = 1,217,661,025/24,661
  6. Step 6: Final answer
    x = 49,375.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.