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Finding the Third Proportional to 5,514.75 and 6,076.69

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Solution

The third proportional to 5,514.75 and 6,076.69 is: 6,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.75 : 6,076.69 = 6,076.69 : x
  2. Step 2: Convert to fraction form
    5,514.75/6,076.69 = 6,076.69/x
  3. Step 3: Cross multiply
    5,514.75x = 6,076.69 × 6,076.69
  4. Step 4: Simplify right side
    5,514.75x = 36,926,130.97
  5. Step 5: Solve for x
    x = 36,926,130.97/5,514.75
  6. Step 6: Final answer
    x = 6,695.88

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.