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Finding the Third Proportional to 969 and 1,651.50

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Solution

The third proportional to 969 and 1,651.50 is: 2,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,651.50 = 1,651.50 : x
  2. Step 2: Convert to fraction form
    969/1,651.50 = 1,651.50/x
  3. Step 3: Cross multiply
    969x = 1,651.50 × 1,651.50
  4. Step 4: Simplify right side
    969x = 2,727,452.25
  5. Step 5: Solve for x
    x = 2,727,452.25/969
  6. Step 6: Final answer
    x = 2,814.71

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.