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Finding the Third Proportional to 20,406 and 29,466

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Solution

The third proportional to 20,406 and 29,466 is: 42,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406 : 29,466 = 29,466 : x
  2. Step 2: Convert to fraction form
    20,406/29,466 = 29,466/x
  3. Step 3: Cross multiply
    20,406x = 29,466 × 29,466
  4. Step 4: Simplify right side
    20,406x = 868,245,156
  5. Step 5: Solve for x
    x = 868,245,156/20,406
  6. Step 6: Final answer
    x = 42,548.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.