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Finding the Third Proportional to 767.44 and 1,566.92

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Solution

The third proportional to 767.44 and 1,566.92 is: 3,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.44 : 1,566.92 = 1,566.92 : x
  2. Step 2: Convert to fraction form
    767.44/1,566.92 = 1,566.92/x
  3. Step 3: Cross multiply
    767.44x = 1,566.92 × 1,566.92
  4. Step 4: Simplify right side
    767.44x = 2,455,247.22
  5. Step 5: Solve for x
    x = 2,455,247.22/767.44
  6. Step 6: Final answer
    x = 3,199.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.