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Finding the Third Proportional to 4,167.07 and 6,780.27

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Solution

The third proportional to 4,167.07 and 6,780.27 is: 11,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.07 : 6,780.27 = 6,780.27 : x
  2. Step 2: Convert to fraction form
    4,167.07/6,780.27 = 6,780.27/x
  3. Step 3: Cross multiply
    4,167.07x = 6,780.27 × 6,780.27
  4. Step 4: Simplify right side
    4,167.07x = 45,972,054.92
  5. Step 5: Solve for x
    x = 45,972,054.92/4,167.07
  6. Step 6: Final answer
    x = 11,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.