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Finding the Third Proportional to 10,724 and 11,660

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Solution

The third proportional to 10,724 and 11,660 is: 12,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 11,660 = 11,660 : x
  2. Step 2: Convert to fraction form
    10,724/11,660 = 11,660/x
  3. Step 3: Cross multiply
    10,724x = 11,660 × 11,660
  4. Step 4: Simplify right side
    10,724x = 135,955,600
  5. Step 5: Solve for x
    x = 135,955,600/10,724
  6. Step 6: Final answer
    x = 12,677.69

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.