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Finding the Third Proportional to 2,312.30 and 3,660.19

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Solution

The third proportional to 2,312.30 and 3,660.19 is: 5,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.30 : 3,660.19 = 3,660.19 : x
  2. Step 2: Convert to fraction form
    2,312.30/3,660.19 = 3,660.19/x
  3. Step 3: Cross multiply
    2,312.30x = 3,660.19 × 3,660.19
  4. Step 4: Simplify right side
    2,312.30x = 13,396,972.54
  5. Step 5: Solve for x
    x = 13,396,972.54/2,312.30
  6. Step 6: Final answer
    x = 5,793.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.