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Finding the Third Proportional to 24,876 and 37,674

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Solution

The third proportional to 24,876 and 37,674 is: 57,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 37,674 = 37,674 : x
  2. Step 2: Convert to fraction form
    24,876/37,674 = 37,674/x
  3. Step 3: Cross multiply
    24,876x = 37,674 × 37,674
  4. Step 4: Simplify right side
    24,876x = 1,419,330,276
  5. Step 5: Solve for x
    x = 1,419,330,276/24,876
  6. Step 6: Final answer
    x = 57,056.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.