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Finding the Third Proportional to 2,233.13 and 2,529.28

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Solution

The third proportional to 2,233.13 and 2,529.28 is: 2,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.13 : 2,529.28 = 2,529.28 : x
  2. Step 2: Convert to fraction form
    2,233.13/2,529.28 = 2,529.28/x
  3. Step 3: Cross multiply
    2,233.13x = 2,529.28 × 2,529.28
  4. Step 4: Simplify right side
    2,233.13x = 6,397,263.64
  5. Step 5: Solve for x
    x = 6,397,263.64/2,233.13
  6. Step 6: Final answer
    x = 2,864.71

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.