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Finding the Third Proportional to 1,230.47 and 2,731.78

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Solution

The third proportional to 1,230.47 and 2,731.78 is: 6,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.47 : 2,731.78 = 2,731.78 : x
  2. Step 2: Convert to fraction form
    1,230.47/2,731.78 = 2,731.78/x
  3. Step 3: Cross multiply
    1,230.47x = 2,731.78 × 2,731.78
  4. Step 4: Simplify right side
    1,230.47x = 7,462,628.80
  5. Step 5: Solve for x
    x = 7,462,628.80/1,230.47
  6. Step 6: Final answer
    x = 6,064.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.