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Finding the Third Proportional to 10,694 and 15,982

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Solution

The third proportional to 10,694 and 15,982 is: 23,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694 : 15,982 = 15,982 : x
  2. Step 2: Convert to fraction form
    10,694/15,982 = 15,982/x
  3. Step 3: Cross multiply
    10,694x = 15,982 × 15,982
  4. Step 4: Simplify right side
    10,694x = 255,424,324
  5. Step 5: Solve for x
    x = 255,424,324/10,694
  6. Step 6: Final answer
    x = 23,884.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.