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Finding the Third Proportional to 766.50 and 1,652.25

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Solution

The third proportional to 766.50 and 1,652.25 is: 3,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.50 : 1,652.25 = 1,652.25 : x
  2. Step 2: Convert to fraction form
    766.50/1,652.25 = 1,652.25/x
  3. Step 3: Cross multiply
    766.50x = 1,652.25 × 1,652.25
  4. Step 4: Simplify right side
    766.50x = 2,729,930.06
  5. Step 5: Solve for x
    x = 2,729,930.06/766.50
  6. Step 6: Final answer
    x = 3,561.55

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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.