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Finding the Third Proportional to 4,149.56 and 6,221.81

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Solution

The third proportional to 4,149.56 and 6,221.81 is: 9,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.56 : 6,221.81 = 6,221.81 : x
  2. Step 2: Convert to fraction form
    4,149.56/6,221.81 = 6,221.81/x
  3. Step 3: Cross multiply
    4,149.56x = 6,221.81 × 6,221.81
  4. Step 4: Simplify right side
    4,149.56x = 38,710,950.79
  5. Step 5: Solve for x
    x = 38,710,950.79/4,149.56
  6. Step 6: Final answer
    x = 9,328.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.