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Finding the Third Proportional to 1,147.92 and 2,775.52

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Solution

The third proportional to 1,147.92 and 2,775.52 is: 6,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.92 : 2,775.52 = 2,775.52 : x
  2. Step 2: Convert to fraction form
    1,147.92/2,775.52 = 2,775.52/x
  3. Step 3: Cross multiply
    1,147.92x = 2,775.52 × 2,775.52
  4. Step 4: Simplify right side
    1,147.92x = 7,703,486.98
  5. Step 5: Solve for x
    x = 7,703,486.98/1,147.92
  6. Step 6: Final answer
    x = 6,710.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.