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Finding the Third Proportional to 4,365.14 and 8,613.84

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Solution

The third proportional to 4,365.14 and 8,613.84 is: 16,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.14 : 8,613.84 = 8,613.84 : x
  2. Step 2: Convert to fraction form
    4,365.14/8,613.84 = 8,613.84/x
  3. Step 3: Cross multiply
    4,365.14x = 8,613.84 × 8,613.84
  4. Step 4: Simplify right side
    4,365.14x = 74,198,304.15
  5. Step 5: Solve for x
    x = 74,198,304.15/4,365.14
  6. Step 6: Final answer
    x = 16,997.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.