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Finding the Third Proportional to 2,280.28 and 4,993.08

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Solution

The third proportional to 2,280.28 and 4,993.08 is: 10,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.28 : 4,993.08 = 4,993.08 : x
  2. Step 2: Convert to fraction form
    2,280.28/4,993.08 = 4,993.08/x
  3. Step 3: Cross multiply
    2,280.28x = 4,993.08 × 4,993.08
  4. Step 4: Simplify right side
    2,280.28x = 24,930,829.16
  5. Step 5: Solve for x
    x = 24,930,829.16/2,280.28
  6. Step 6: Final answer
    x = 10,933.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.