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Finding the Third Proportional to 5,842.13 and 9,021.38

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Solution

The third proportional to 5,842.13 and 9,021.38 is: 13,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.13 : 9,021.38 = 9,021.38 : x
  2. Step 2: Convert to fraction form
    5,842.13/9,021.38 = 9,021.38/x
  3. Step 3: Cross multiply
    5,842.13x = 9,021.38 × 9,021.38
  4. Step 4: Simplify right side
    5,842.13x = 81,385,206.89
  5. Step 5: Solve for x
    x = 81,385,206.89/5,842.13
  6. Step 6: Final answer
    x = 13,930.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.