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Finding the Third Proportional to 969 and 2,127

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Solution

The third proportional to 969 and 2,127 is: 4,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 2,127 = 2,127 : x
  2. Step 2: Convert to fraction form
    969/2,127 = 2,127/x
  3. Step 3: Cross multiply
    969x = 2,127 × 2,127
  4. Step 4: Simplify right side
    969x = 4,524,129
  5. Step 5: Solve for x
    x = 4,524,129/969
  6. Step 6: Final answer
    x = 4,668.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.