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Finding the Third Proportional to 772.50 and 1,665.75

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Solution

The third proportional to 772.50 and 1,665.75 is: 3,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,665.75 = 1,665.75 : x
  2. Step 2: Convert to fraction form
    772.50/1,665.75 = 1,665.75/x
  3. Step 3: Cross multiply
    772.50x = 1,665.75 × 1,665.75
  4. Step 4: Simplify right side
    772.50x = 2,774,723.06
  5. Step 5: Solve for x
    x = 2,774,723.06/772.50
  6. Step 6: Final answer
    x = 3,591.87

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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.