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Finding the Third Proportional to 772.50 and 1,272.75

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Solution

The third proportional to 772.50 and 1,272.75 is: 2,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,272.75 = 1,272.75 : x
  2. Step 2: Convert to fraction form
    772.50/1,272.75 = 1,272.75/x
  3. Step 3: Cross multiply
    772.50x = 1,272.75 × 1,272.75
  4. Step 4: Simplify right side
    772.50x = 1,619,892.56
  5. Step 5: Solve for x
    x = 1,619,892.56/772.50
  6. Step 6: Final answer
    x = 2,096.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.