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Finding the Third Proportional to 2,248.88 and 3,441.66

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Solution

The third proportional to 2,248.88 and 3,441.66 is: 5,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.88 : 3,441.66 = 3,441.66 : x
  2. Step 2: Convert to fraction form
    2,248.88/3,441.66 = 3,441.66/x
  3. Step 3: Cross multiply
    2,248.88x = 3,441.66 × 3,441.66
  4. Step 4: Simplify right side
    2,248.88x = 11,844,997.74
  5. Step 5: Solve for x
    x = 11,844,997.74/2,248.88
  6. Step 6: Final answer
    x = 5,267.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.