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Finding the Third Proportional to 2,080.13 and 4,545.42

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Solution

The third proportional to 2,080.13 and 4,545.42 is: 9,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.13 : 4,545.42 = 4,545.42 : x
  2. Step 2: Convert to fraction form
    2,080.13/4,545.42 = 4,545.42/x
  3. Step 3: Cross multiply
    2,080.13x = 4,545.42 × 4,545.42
  4. Step 4: Simplify right side
    2,080.13x = 20,660,860.02
  5. Step 5: Solve for x
    x = 20,660,860.02/2,080.13
  6. Step 6: Final answer
    x = 9,932.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.