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Finding the Third Proportional to 5,514.33 and 7,701.96

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Solution

The third proportional to 5,514.33 and 7,701.96 is: 10,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.33 : 7,701.96 = 7,701.96 : x
  2. Step 2: Convert to fraction form
    5,514.33/7,701.96 = 7,701.96/x
  3. Step 3: Cross multiply
    5,514.33x = 7,701.96 × 7,701.96
  4. Step 4: Simplify right side
    5,514.33x = 59,320,202.28
  5. Step 5: Solve for x
    x = 59,320,202.28/5,514.33
  6. Step 6: Final answer
    x = 10,757.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.