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Finding the Third Proportional to 24,981 and 37,093

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Solution

The third proportional to 24,981 and 37,093 is: 55,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,981 : 37,093 = 37,093 : x
  2. Step 2: Convert to fraction form
    24,981/37,093 = 37,093/x
  3. Step 3: Cross multiply
    24,981x = 37,093 × 37,093
  4. Step 4: Simplify right side
    24,981x = 1,375,890,649
  5. Step 5: Solve for x
    x = 1,375,890,649/24,981
  6. Step 6: Final answer
    x = 55,077.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.