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Finding the Third Proportional to 2,280.02 and 3,436.49

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Solution

The third proportional to 2,280.02 and 3,436.49 is: 5,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.02 : 3,436.49 = 3,436.49 : x
  2. Step 2: Convert to fraction form
    2,280.02/3,436.49 = 3,436.49/x
  3. Step 3: Cross multiply
    2,280.02x = 3,436.49 × 3,436.49
  4. Step 4: Simplify right side
    2,280.02x = 11,809,451.71
  5. Step 5: Solve for x
    x = 11,809,451.71/2,280.02
  6. Step 6: Final answer
    x = 5,179.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.