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Finding the Third Proportional to 24,395 and 37,661

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Solution

The third proportional to 24,395 and 37,661 is: 58,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395 : 37,661 = 37,661 : x
  2. Step 2: Convert to fraction form
    24,395/37,661 = 37,661/x
  3. Step 3: Cross multiply
    24,395x = 37,661 × 37,661
  4. Step 4: Simplify right side
    24,395x = 1,418,350,921
  5. Step 5: Solve for x
    x = 1,418,350,921/24,395
  6. Step 6: Final answer
    x = 58,141.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.