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Finding the Third Proportional to 2,145.54 and 3,280.15

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Solution

The third proportional to 2,145.54 and 3,280.15 is: 5,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.54 : 3,280.15 = 3,280.15 : x
  2. Step 2: Convert to fraction form
    2,145.54/3,280.15 = 3,280.15/x
  3. Step 3: Cross multiply
    2,145.54x = 3,280.15 × 3,280.15
  4. Step 4: Simplify right side
    2,145.54x = 10,759,381.43
  5. Step 5: Solve for x
    x = 10,759,381.43/2,145.54
  6. Step 6: Final answer
    x = 5,014.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.