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Finding the Third Proportional to 20,320 and 44,374

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Solution

The third proportional to 20,320 and 44,374 is: 96,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320 : 44,374 = 44,374 : x
  2. Step 2: Convert to fraction form
    20,320/44,374 = 44,374/x
  3. Step 3: Cross multiply
    20,320x = 44,374 × 44,374
  4. Step 4: Simplify right side
    20,320x = 1,969,051,876
  5. Step 5: Solve for x
    x = 1,969,051,876/20,320
  6. Step 6: Final answer
    x = 96,902.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.