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Finding the Third Proportional to 18,971 and 29,452

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Solution

The third proportional to 18,971 and 29,452 is: 45,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971 : 29,452 = 29,452 : x
  2. Step 2: Convert to fraction form
    18,971/29,452 = 29,452/x
  3. Step 3: Cross multiply
    18,971x = 29,452 × 29,452
  4. Step 4: Simplify right side
    18,971x = 867,420,304
  5. Step 5: Solve for x
    x = 867,420,304/18,971
  6. Step 6: Final answer
    x = 45,723.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.