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Finding the Third Proportional to 23,750 and 36,922

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Solution

The third proportional to 23,750 and 36,922 is: 57,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,750 : 36,922 = 36,922 : x
  2. Step 2: Convert to fraction form
    23,750/36,922 = 36,922/x
  3. Step 3: Cross multiply
    23,750x = 36,922 × 36,922
  4. Step 4: Simplify right side
    23,750x = 1,363,234,084
  5. Step 5: Solve for x
    x = 1,363,234,084/23,750
  6. Step 6: Final answer
    x = 57,399.33

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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.