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Finding the Third Proportional to 4,114.13 and 8,020.69

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Solution

The third proportional to 4,114.13 and 8,020.69 is: 15,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 8,020.69 = 8,020.69 : x
  2. Step 2: Convert to fraction form
    4,114.13/8,020.69 = 8,020.69/x
  3. Step 3: Cross multiply
    4,114.13x = 8,020.69 × 8,020.69
  4. Step 4: Simplify right side
    4,114.13x = 64,331,427.97
  5. Step 5: Solve for x
    x = 64,331,427.97/4,114.13
  6. Step 6: Final answer
    x = 15,636.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.