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Finding the Third Proportional to 3,046.22 and 6,545.81

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Solution

The third proportional to 3,046.22 and 6,545.81 is: 14,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.22 : 6,545.81 = 6,545.81 : x
  2. Step 2: Convert to fraction form
    3,046.22/6,545.81 = 6,545.81/x
  3. Step 3: Cross multiply
    3,046.22x = 6,545.81 × 6,545.81
  4. Step 4: Simplify right side
    3,046.22x = 42,847,661.29
  5. Step 5: Solve for x
    x = 42,847,661.29/3,046.22
  6. Step 6: Final answer
    x = 14,065.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.