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Finding the Third Proportional to 3,020.81 and 4,516.88

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Solution

The third proportional to 3,020.81 and 4,516.88 is: 6,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.81 : 4,516.88 = 4,516.88 : x
  2. Step 2: Convert to fraction form
    3,020.81/4,516.88 = 4,516.88/x
  3. Step 3: Cross multiply
    3,020.81x = 4,516.88 × 4,516.88
  4. Step 4: Simplify right side
    3,020.81x = 20,402,159.77
  5. Step 5: Solve for x
    x = 20,402,159.77/3,020.81
  6. Step 6: Final answer
    x = 6,753.86

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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.