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Finding the Third Proportional to 5,799.38 and 9,001.97

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Solution

The third proportional to 5,799.38 and 9,001.97 is: 13,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.38 : 9,001.97 = 9,001.97 : x
  2. Step 2: Convert to fraction form
    5,799.38/9,001.97 = 9,001.97/x
  3. Step 3: Cross multiply
    5,799.38x = 9,001.97 × 9,001.97
  4. Step 4: Simplify right side
    5,799.38x = 81,035,441.38
  5. Step 5: Solve for x
    x = 81,035,441.38/5,799.38
  6. Step 6: Final answer
    x = 13,973.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.