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Finding the Third Proportional to 17,444 and 22,692

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Solution

The third proportional to 17,444 and 22,692 is: 29,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,444 : 22,692 = 22,692 : x
  2. Step 2: Convert to fraction form
    17,444/22,692 = 22,692/x
  3. Step 3: Cross multiply
    17,444x = 22,692 × 22,692
  4. Step 4: Simplify right side
    17,444x = 514,926,864
  5. Step 5: Solve for x
    x = 514,926,864/17,444
  6. Step 6: Final answer
    x = 29,518.85

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.