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Finding the Third Proportional to 20,466 and 31,603

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Solution

The third proportional to 20,466 and 31,603 is: 48,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466 : 31,603 = 31,603 : x
  2. Step 2: Convert to fraction form
    20,466/31,603 = 31,603/x
  3. Step 3: Cross multiply
    20,466x = 31,603 × 31,603
  4. Step 4: Simplify right side
    20,466x = 998,749,609
  5. Step 5: Solve for x
    x = 998,749,609/20,466
  6. Step 6: Final answer
    x = 48,800.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.