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Finding the Third Proportional to 24,375 and 36,862.50

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Solution

The third proportional to 24,375 and 36,862.50 is: 55,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 36,862.50 = 36,862.50 : x
  2. Step 2: Convert to fraction form
    24,375/36,862.50 = 36,862.50/x
  3. Step 3: Cross multiply
    24,375x = 36,862.50 × 36,862.50
  4. Step 4: Simplify right side
    24,375x = 1,358,843,906.25
  5. Step 5: Solve for x
    x = 1,358,843,906.25/24,375
  6. Step 6: Final answer
    x = 55,747.44

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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.