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Finding the Third Proportional to 2,209.46 and 2,593.90

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Solution

The third proportional to 2,209.46 and 2,593.90 is: 3,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.46 : 2,593.90 = 2,593.90 : x
  2. Step 2: Convert to fraction form
    2,209.46/2,593.90 = 2,593.90/x
  3. Step 3: Cross multiply
    2,209.46x = 2,593.90 × 2,593.90
  4. Step 4: Simplify right side
    2,209.46x = 6,728,309.10
  5. Step 5: Solve for x
    x = 6,728,309.10/2,209.46
  6. Step 6: Final answer
    x = 3,045.22

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.