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Finding the Third Proportional to 2,013.19 and 2,581.03

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Solution

The third proportional to 2,013.19 and 2,581.03 is: 3,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.19 : 2,581.03 = 2,581.03 : x
  2. Step 2: Convert to fraction form
    2,013.19/2,581.03 = 2,581.03/x
  3. Step 3: Cross multiply
    2,013.19x = 2,581.03 × 2,581.03
  4. Step 4: Simplify right side
    2,013.19x = 6,661,722.31
  5. Step 5: Solve for x
    x = 6,661,722.31/2,013.19
  6. Step 6: Final answer
    x = 3,309.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.