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Finding the Third Proportional to 1,143.49 and 2,669.84

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Solution

The third proportional to 1,143.49 and 2,669.84 is: 6,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.49 : 2,669.84 = 2,669.84 : x
  2. Step 2: Convert to fraction form
    1,143.49/2,669.84 = 2,669.84/x
  3. Step 3: Cross multiply
    1,143.49x = 2,669.84 × 2,669.84
  4. Step 4: Simplify right side
    1,143.49x = 7,128,023.93
  5. Step 5: Solve for x
    x = 7,128,023.93/1,143.49
  6. Step 6: Final answer
    x = 6,233.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.