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Finding the Third Proportional to 1,295.50 and 1,986.75

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Solution

The third proportional to 1,295.50 and 1,986.75 is: 3,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.50 : 1,986.75 = 1,986.75 : x
  2. Step 2: Convert to fraction form
    1,295.50/1,986.75 = 1,986.75/x
  3. Step 3: Cross multiply
    1,295.50x = 1,986.75 × 1,986.75
  4. Step 4: Simplify right side
    1,295.50x = 3,947,175.56
  5. Step 5: Solve for x
    x = 3,947,175.56/1,295.50
  6. Step 6: Final answer
    x = 3,046.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.