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Finding the Third Proportional to 24,661 and 37,607

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Solution

The third proportional to 24,661 and 37,607 is: 57,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,661 : 37,607 = 37,607 : x
  2. Step 2: Convert to fraction form
    24,661/37,607 = 37,607/x
  3. Step 3: Cross multiply
    24,661x = 37,607 × 37,607
  4. Step 4: Simplify right side
    24,661x = 1,414,286,449
  5. Step 5: Solve for x
    x = 1,414,286,449/24,661
  6. Step 6: Final answer
    x = 57,349.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.