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Finding the Third Proportional to 1,516.22 and 2,177.30

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Solution

The third proportional to 1,516.22 and 2,177.30 is: 3,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.22 : 2,177.30 = 2,177.30 : x
  2. Step 2: Convert to fraction form
    1,516.22/2,177.30 = 2,177.30/x
  3. Step 3: Cross multiply
    1,516.22x = 2,177.30 × 2,177.30
  4. Step 4: Simplify right side
    1,516.22x = 4,740,621.68
  5. Step 5: Solve for x
    x = 4,740,621.68/1,516.22
  6. Step 6: Final answer
    x = 3,126.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.