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Finding the Third Proportional to 20,566 and 44,934

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Solution

The third proportional to 20,566 and 44,934 is: 98,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566 : 44,934 = 44,934 : x
  2. Step 2: Convert to fraction form
    20,566/44,934 = 44,934/x
  3. Step 3: Cross multiply
    20,566x = 44,934 × 44,934
  4. Step 4: Simplify right side
    20,566x = 2,019,064,356
  5. Step 5: Solve for x
    x = 2,019,064,356/20,566
  6. Step 6: Final answer
    x = 98,174.87

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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.