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Finding the Third Proportional to 9,001.13 and 18,577.97

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Solution

The third proportional to 9,001.13 and 18,577.97 is: 38,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.13 : 18,577.97 = 18,577.97 : x
  2. Step 2: Convert to fraction form
    9,001.13/18,577.97 = 18,577.97/x
  3. Step 3: Cross multiply
    9,001.13x = 18,577.97 × 18,577.97
  4. Step 4: Simplify right side
    9,001.13x = 345,140,922.88
  5. Step 5: Solve for x
    x = 345,140,922.88/9,001.13
  6. Step 6: Final answer
    x = 38,344.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.