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Finding the Third Proportional to 2,610.59 and 5,740.16

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Solution

The third proportional to 2,610.59 and 5,740.16 is: 12,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.59 : 5,740.16 = 5,740.16 : x
  2. Step 2: Convert to fraction form
    2,610.59/5,740.16 = 5,740.16/x
  3. Step 3: Cross multiply
    2,610.59x = 5,740.16 × 5,740.16
  4. Step 4: Simplify right side
    2,610.59x = 32,949,472.25
  5. Step 5: Solve for x
    x = 32,949,472.25/2,610.59
  6. Step 6: Final answer
    x = 12,621.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.