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Finding the Third Proportional to 2,061.91 and 4,020.68

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Solution

The third proportional to 2,061.91 and 4,020.68 is: 7,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.91 : 4,020.68 = 4,020.68 : x
  2. Step 2: Convert to fraction form
    2,061.91/4,020.68 = 4,020.68/x
  3. Step 3: Cross multiply
    2,061.91x = 4,020.68 × 4,020.68
  4. Step 4: Simplify right side
    2,061.91x = 16,165,865.15
  5. Step 5: Solve for x
    x = 16,165,865.15/2,061.91
  6. Step 6: Final answer
    x = 7,840.22

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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.