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Finding the Third Proportional to 13,724 and 20,098

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Solution

The third proportional to 13,724 and 20,098 is: 29,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724 : 20,098 = 20,098 : x
  2. Step 2: Convert to fraction form
    13,724/20,098 = 20,098/x
  3. Step 3: Cross multiply
    13,724x = 20,098 × 20,098
  4. Step 4: Simplify right side
    13,724x = 403,929,604
  5. Step 5: Solve for x
    x = 403,929,604/13,724
  6. Step 6: Final answer
    x = 29,432.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.