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Finding the Third Proportional to 8,515.13 and 10,773.42

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Solution

The third proportional to 8,515.13 and 10,773.42 is: 13,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.13 : 10,773.42 = 10,773.42 : x
  2. Step 2: Convert to fraction form
    8,515.13/10,773.42 = 10,773.42/x
  3. Step 3: Cross multiply
    8,515.13x = 10,773.42 × 10,773.42
  4. Step 4: Simplify right side
    8,515.13x = 116,066,618.90
  5. Step 5: Solve for x
    x = 116,066,618.90/8,515.13
  6. Step 6: Final answer
    x = 13,630.64

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.