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Finding the Third Proportional to 7,077.38 and 11,241.28

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Solution

The third proportional to 7,077.38 and 11,241.28 is: 17,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.38 : 11,241.28 = 11,241.28 : x
  2. Step 2: Convert to fraction form
    7,077.38/11,241.28 = 11,241.28/x
  3. Step 3: Cross multiply
    7,077.38x = 11,241.28 × 11,241.28
  4. Step 4: Simplify right side
    7,077.38x = 126,366,404.14
  5. Step 5: Solve for x
    x = 126,366,404.14/7,077.38
  6. Step 6: Final answer
    x = 17,854.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.