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Finding the Third Proportional to 2,219.06 and 3,013.03

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Solution

The third proportional to 2,219.06 and 3,013.03 is: 4,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.06 : 3,013.03 = 3,013.03 : x
  2. Step 2: Convert to fraction form
    2,219.06/3,013.03 = 3,013.03/x
  3. Step 3: Cross multiply
    2,219.06x = 3,013.03 × 3,013.03
  4. Step 4: Simplify right side
    2,219.06x = 9,078,357.31
  5. Step 5: Solve for x
    x = 9,078,357.31/2,219.06
  6. Step 6: Final answer
    x = 4,091.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.