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Finding the Third Proportional to 3,277.13 and 4,294.69

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Solution

The third proportional to 3,277.13 and 4,294.69 is: 5,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.13 : 4,294.69 = 4,294.69 : x
  2. Step 2: Convert to fraction form
    3,277.13/4,294.69 = 4,294.69/x
  3. Step 3: Cross multiply
    3,277.13x = 4,294.69 × 4,294.69
  4. Step 4: Simplify right side
    3,277.13x = 18,444,340.72
  5. Step 5: Solve for x
    x = 18,444,340.72/3,277.13
  6. Step 6: Final answer
    x = 5,628.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.