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Finding the Third Proportional to 767.56 and 1,655.69

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Solution

The third proportional to 767.56 and 1,655.69 is: 3,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.56 : 1,655.69 = 1,655.69 : x
  2. Step 2: Convert to fraction form
    767.56/1,655.69 = 1,655.69/x
  3. Step 3: Cross multiply
    767.56x = 1,655.69 × 1,655.69
  4. Step 4: Simplify right side
    767.56x = 2,741,301.10
  5. Step 5: Solve for x
    x = 2,741,301.10/767.56
  6. Step 6: Final answer
    x = 3,571.44

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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.