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Finding the Third Proportional to 10,724 and 15,098

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Solution

The third proportional to 10,724 and 15,098 is: 21,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 15,098 = 15,098 : x
  2. Step 2: Convert to fraction form
    10,724/15,098 = 15,098/x
  3. Step 3: Cross multiply
    10,724x = 15,098 × 15,098
  4. Step 4: Simplify right side
    10,724x = 227,949,604
  5. Step 5: Solve for x
    x = 227,949,604/10,724
  6. Step 6: Final answer
    x = 21,256.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.