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Finding the Third Proportional to 6,514.17 and 8,797.36

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Solution

The third proportional to 6,514.17 and 8,797.36 is: 11,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.17 : 8,797.36 = 8,797.36 : x
  2. Step 2: Convert to fraction form
    6,514.17/8,797.36 = 8,797.36/x
  3. Step 3: Cross multiply
    6,514.17x = 8,797.36 × 8,797.36
  4. Step 4: Simplify right side
    6,514.17x = 77,393,531.97
  5. Step 5: Solve for x
    x = 77,393,531.97/6,514.17
  6. Step 6: Final answer
    x = 11,880.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.