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Finding the Third Proportional to 793.78 and 1,544.72

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Solution

The third proportional to 793.78 and 1,544.72 is: 3,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.78 : 1,544.72 = 1,544.72 : x
  2. Step 2: Convert to fraction form
    793.78/1,544.72 = 1,544.72/x
  3. Step 3: Cross multiply
    793.78x = 1,544.72 × 1,544.72
  4. Step 4: Simplify right side
    793.78x = 2,386,156.02
  5. Step 5: Solve for x
    x = 2,386,156.02/793.78
  6. Step 6: Final answer
    x = 3,006.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.