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Finding the Third Proportional to 2,143.13 and 2,338.03

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Solution

The third proportional to 2,143.13 and 2,338.03 is: 2,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.13 : 2,338.03 = 2,338.03 : x
  2. Step 2: Convert to fraction form
    2,143.13/2,338.03 = 2,338.03/x
  3. Step 3: Cross multiply
    2,143.13x = 2,338.03 × 2,338.03
  4. Step 4: Simplify right side
    2,143.13x = 5,466,390.13
  5. Step 5: Solve for x
    x = 5,466,390.13/2,143.13
  6. Step 6: Final answer
    x = 2,550.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.