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Finding the Third Proportional to 2,552.25 and 5,652.75

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Solution

The third proportional to 2,552.25 and 5,652.75 is: 12,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.25 : 5,652.75 = 5,652.75 : x
  2. Step 2: Convert to fraction form
    2,552.25/5,652.75 = 5,652.75/x
  3. Step 3: Cross multiply
    2,552.25x = 5,652.75 × 5,652.75
  4. Step 4: Simplify right side
    2,552.25x = 31,953,582.56
  5. Step 5: Solve for x
    x = 31,953,582.56/2,552.25
  6. Step 6: Final answer
    x = 12,519.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.