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Finding the Third Proportional to 6,468.56 and 13,909.13

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Solution

The third proportional to 6,468.56 and 13,909.13 is: 29,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.56 : 13,909.13 = 13,909.13 : x
  2. Step 2: Convert to fraction form
    6,468.56/13,909.13 = 13,909.13/x
  3. Step 3: Cross multiply
    6,468.56x = 13,909.13 × 13,909.13
  4. Step 4: Simplify right side
    6,468.56x = 193,463,758.27
  5. Step 5: Solve for x
    x = 193,463,758.27/6,468.56
  6. Step 6: Final answer
    x = 29,908.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.