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Finding the Third Proportional to 6,727.13 and 14,780.81

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Solution

The third proportional to 6,727.13 and 14,780.81 is: 32,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.13 : 14,780.81 = 14,780.81 : x
  2. Step 2: Convert to fraction form
    6,727.13/14,780.81 = 14,780.81/x
  3. Step 3: Cross multiply
    6,727.13x = 14,780.81 × 14,780.81
  4. Step 4: Simplify right side
    6,727.13x = 218,472,418.16
  5. Step 5: Solve for x
    x = 218,472,418.16/6,727.13
  6. Step 6: Final answer
    x = 32,476.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.