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Finding the Third Proportional to 9,446 and 20,377

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Solution

The third proportional to 9,446 and 20,377 is: 43,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446 : 20,377 = 20,377 : x
  2. Step 2: Convert to fraction form
    9,446/20,377 = 20,377/x
  3. Step 3: Cross multiply
    9,446x = 20,377 × 20,377
  4. Step 4: Simplify right side
    9,446x = 415,222,129
  5. Step 5: Solve for x
    x = 415,222,129/9,446
  6. Step 6: Final answer
    x = 43,957.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.