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Finding the Third Proportional to 2,998.13 and 5,581.13

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Solution

The third proportional to 2,998.13 and 5,581.13 is: 10,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.13 : 5,581.13 = 5,581.13 : x
  2. Step 2: Convert to fraction form
    2,998.13/5,581.13 = 5,581.13/x
  3. Step 3: Cross multiply
    2,998.13x = 5,581.13 × 5,581.13
  4. Step 4: Simplify right side
    2,998.13x = 31,148,956.27
  5. Step 5: Solve for x
    x = 31,148,956.27/2,998.13
  6. Step 6: Final answer
    x = 10,389.48

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.