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Finding the Third Proportional to 3,527.30 and 6,917.91

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Solution

The third proportional to 3,527.30 and 6,917.91 is: 13,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.30 : 6,917.91 = 6,917.91 : x
  2. Step 2: Convert to fraction form
    3,527.30/6,917.91 = 6,917.91/x
  3. Step 3: Cross multiply
    3,527.30x = 6,917.91 × 6,917.91
  4. Step 4: Simplify right side
    3,527.30x = 47,857,426.88
  5. Step 5: Solve for x
    x = 47,857,426.88/3,527.30
  6. Step 6: Final answer
    x = 13,567.73

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.