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Finding the Third Proportional to 5,034.66 and 6,545.81

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Solution

The third proportional to 5,034.66 and 6,545.81 is: 8,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.66 : 6,545.81 = 6,545.81 : x
  2. Step 2: Convert to fraction form
    5,034.66/6,545.81 = 6,545.81/x
  3. Step 3: Cross multiply
    5,034.66x = 6,545.81 × 6,545.81
  4. Step 4: Simplify right side
    5,034.66x = 42,847,661.29
  5. Step 5: Solve for x
    x = 42,847,661.29/5,034.66
  6. Step 6: Final answer
    x = 8,510.54

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.