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Finding the Third Proportional to 2,552.77 and 3,515.27

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Solution

The third proportional to 2,552.77 and 3,515.27 is: 4,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.77 : 3,515.27 = 3,515.27 : x
  2. Step 2: Convert to fraction form
    2,552.77/3,515.27 = 3,515.27/x
  3. Step 3: Cross multiply
    2,552.77x = 3,515.27 × 3,515.27
  4. Step 4: Simplify right side
    2,552.77x = 12,357,147.34
  5. Step 5: Solve for x
    x = 12,357,147.34/2,552.77
  6. Step 6: Final answer
    x = 4,840.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.