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Finding the Third Proportional to 19,098 and 29,519

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Solution

The third proportional to 19,098 and 29,519 is: 45,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 29,519 = 29,519 : x
  2. Step 2: Convert to fraction form
    19,098/29,519 = 29,519/x
  3. Step 3: Cross multiply
    19,098x = 29,519 × 29,519
  4. Step 4: Simplify right side
    19,098x = 871,371,361
  5. Step 5: Solve for x
    x = 871,371,361/19,098
  6. Step 6: Final answer
    x = 45,626.31

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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.