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Finding the Third Proportional to 10,979 and 17,681

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Solution

The third proportional to 10,979 and 17,681 is: 28,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979 : 17,681 = 17,681 : x
  2. Step 2: Convert to fraction form
    10,979/17,681 = 17,681/x
  3. Step 3: Cross multiply
    10,979x = 17,681 × 17,681
  4. Step 4: Simplify right side
    10,979x = 312,617,761
  5. Step 5: Solve for x
    x = 312,617,761/10,979
  6. Step 6: Final answer
    x = 28,474.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.