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Finding the Third Proportional to 2,725.52 and 4,126.57

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Solution

The third proportional to 2,725.52 and 4,126.57 is: 6,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.52 : 4,126.57 = 4,126.57 : x
  2. Step 2: Convert to fraction form
    2,725.52/4,126.57 = 4,126.57/x
  3. Step 3: Cross multiply
    2,725.52x = 4,126.57 × 4,126.57
  4. Step 4: Simplify right side
    2,725.52x = 17,028,582.54
  5. Step 5: Solve for x
    x = 17,028,582.54/2,725.52
  6. Step 6: Final answer
    x = 6,247.82

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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.