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Finding the Third Proportional to 1,108.69 and 2,280.02

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Solution

The third proportional to 1,108.69 and 2,280.02 is: 4,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.69 : 2,280.02 = 2,280.02 : x
  2. Step 2: Convert to fraction form
    1,108.69/2,280.02 = 2,280.02/x
  3. Step 3: Cross multiply
    1,108.69x = 2,280.02 × 2,280.02
  4. Step 4: Simplify right side
    1,108.69x = 5,198,506.88
  5. Step 5: Solve for x
    x = 5,198,506.88/1,108.69
  6. Step 6: Final answer
    x = 4,688.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.