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Finding the Third Proportional to 17,924 and 38,991

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Solution

The third proportional to 17,924 and 38,991 is: 84,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924 : 38,991 = 38,991 : x
  2. Step 2: Convert to fraction form
    17,924/38,991 = 38,991/x
  3. Step 3: Cross multiply
    17,924x = 38,991 × 38,991
  4. Step 4: Simplify right side
    17,924x = 1,520,298,081
  5. Step 5: Solve for x
    x = 1,520,298,081/17,924
  6. Step 6: Final answer
    x = 84,819.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.