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Finding the Third Proportional to 11,704 and 17,681

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Solution

The third proportional to 11,704 and 17,681 is: 26,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704 : 17,681 = 17,681 : x
  2. Step 2: Convert to fraction form
    11,704/17,681 = 17,681/x
  3. Step 3: Cross multiply
    11,704x = 17,681 × 17,681
  4. Step 4: Simplify right side
    11,704x = 312,617,761
  5. Step 5: Solve for x
    x = 312,617,761/11,704
  6. Step 6: Final answer
    x = 26,710.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.