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Finding the Third Proportional to 2,288.81 and 5,013.56

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Solution

The third proportional to 2,288.81 and 5,013.56 is: 10,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.81 : 5,013.56 = 5,013.56 : x
  2. Step 2: Convert to fraction form
    2,288.81/5,013.56 = 5,013.56/x
  3. Step 3: Cross multiply
    2,288.81x = 5,013.56 × 5,013.56
  4. Step 4: Simplify right side
    2,288.81x = 25,135,808.94
  5. Step 5: Solve for x
    x = 25,135,808.94/2,288.81
  6. Step 6: Final answer
    x = 10,982.03

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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.