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Finding the Third Proportional to 7,924 and 17,101.75

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Solution

The third proportional to 7,924 and 17,101.75 is: 36,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 17,101.75 = 17,101.75 : x
  2. Step 2: Convert to fraction form
    7,924/17,101.75 = 17,101.75/x
  3. Step 3: Cross multiply
    7,924x = 17,101.75 × 17,101.75
  4. Step 4: Simplify right side
    7,924x = 292,469,853.06
  5. Step 5: Solve for x
    x = 292,469,853.06/7,924
  6. Step 6: Final answer
    x = 36,909.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.