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Finding the Third Proportional to 20,414 and 44,986

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Solution

The third proportional to 20,414 and 44,986 is: 99,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 44,986 = 44,986 : x
  2. Step 2: Convert to fraction form
    20,414/44,986 = 44,986/x
  3. Step 3: Cross multiply
    20,414x = 44,986 × 44,986
  4. Step 4: Simplify right side
    20,414x = 2,023,740,196
  5. Step 5: Solve for x
    x = 2,023,740,196/20,414
  6. Step 6: Final answer
    x = 99,134.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.