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Finding the Third Proportional to 2,270.81 and 5,073.09

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Solution

The third proportional to 2,270.81 and 5,073.09 is: 11,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.81 : 5,073.09 = 5,073.09 : x
  2. Step 2: Convert to fraction form
    2,270.81/5,073.09 = 5,073.09/x
  3. Step 3: Cross multiply
    2,270.81x = 5,073.09 × 5,073.09
  4. Step 4: Simplify right side
    2,270.81x = 25,736,280.20
  5. Step 5: Solve for x
    x = 25,736,280.20/2,270.81
  6. Step 6: Final answer
    x = 11,333.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.