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Finding the Third Proportional to 20,374 and 44,180

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Solution

The third proportional to 20,374 and 44,180 is: 95,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374 : 44,180 = 44,180 : x
  2. Step 2: Convert to fraction form
    20,374/44,180 = 44,180/x
  3. Step 3: Cross multiply
    20,374x = 44,180 × 44,180
  4. Step 4: Simplify right side
    20,374x = 1,951,872,400
  5. Step 5: Solve for x
    x = 1,951,872,400/20,374
  6. Step 6: Final answer
    x = 95,802.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.