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Finding the Third Proportional to 2,497.78 and 3,729.66

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Solution

The third proportional to 2,497.78 and 3,729.66 is: 5,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.78 : 3,729.66 = 3,729.66 : x
  2. Step 2: Convert to fraction form
    2,497.78/3,729.66 = 3,729.66/x
  3. Step 3: Cross multiply
    2,497.78x = 3,729.66 × 3,729.66
  4. Step 4: Simplify right side
    2,497.78x = 13,910,335.74
  5. Step 5: Solve for x
    x = 13,910,335.74/2,497.78
  6. Step 6: Final answer
    x = 5,569.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.