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Finding the Third Proportional to 24,179 and 37,367

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Solution

The third proportional to 24,179 and 37,367 is: 57,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179 : 37,367 = 37,367 : x
  2. Step 2: Convert to fraction form
    24,179/37,367 = 37,367/x
  3. Step 3: Cross multiply
    24,179x = 37,367 × 37,367
  4. Step 4: Simplify right side
    24,179x = 1,396,292,689
  5. Step 5: Solve for x
    x = 1,396,292,689/24,179
  6. Step 6: Final answer
    x = 57,748.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.