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Finding the Third Proportional to 3,020.53 and 4,516.69

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Solution

The third proportional to 3,020.53 and 4,516.69 is: 6,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.53 : 4,516.69 = 4,516.69 : x
  2. Step 2: Convert to fraction form
    3,020.53/4,516.69 = 4,516.69/x
  3. Step 3: Cross multiply
    3,020.53x = 4,516.69 × 4,516.69
  4. Step 4: Simplify right side
    3,020.53x = 20,400,465.97
  5. Step 5: Solve for x
    x = 20,400,465.97/3,020.53
  6. Step 6: Final answer
    x = 6,753.93

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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.