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Finding the Third Proportional to 2,280.02 and 4,761.28

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Solution

The third proportional to 2,280.02 and 4,761.28 is: 9,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.02 : 4,761.28 = 4,761.28 : x
  2. Step 2: Convert to fraction form
    2,280.02/4,761.28 = 4,761.28/x
  3. Step 3: Cross multiply
    2,280.02x = 4,761.28 × 4,761.28
  4. Step 4: Simplify right side
    2,280.02x = 22,669,799.14
  5. Step 5: Solve for x
    x = 22,669,799.14/2,280.02
  6. Step 6: Final answer
    x = 9,942.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.