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Finding the Third Proportional to 750.66 and 1,549.31

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Solution

The third proportional to 750.66 and 1,549.31 is: 3,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,549.31 = 1,549.31 : x
  2. Step 2: Convert to fraction form
    750.66/1,549.31 = 1,549.31/x
  3. Step 3: Cross multiply
    750.66x = 1,549.31 × 1,549.31
  4. Step 4: Simplify right side
    750.66x = 2,400,369.22
  5. Step 5: Solve for x
    x = 2,400,369.22/750.66
  6. Step 6: Final answer
    x = 3,197.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.