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Finding the Third Proportional to 767.81 and 1,655.44

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Solution

The third proportional to 767.81 and 1,655.44 is: 3,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,655.44 = 1,655.44 : x
  2. Step 2: Convert to fraction form
    767.81/1,655.44 = 1,655.44/x
  3. Step 3: Cross multiply
    767.81x = 1,655.44 × 1,655.44
  4. Step 4: Simplify right side
    767.81x = 2,740,473.32
  5. Step 5: Solve for x
    x = 2,740,473.32/767.81
  6. Step 6: Final answer
    x = 3,569.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.