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Finding the Third Proportional to 1,228 and 2,693

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Solution

The third proportional to 1,228 and 2,693 is: 5,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228 : 2,693 = 2,693 : x
  2. Step 2: Convert to fraction form
    1,228/2,693 = 2,693/x
  3. Step 3: Cross multiply
    1,228x = 2,693 × 2,693
  4. Step 4: Simplify right side
    1,228x = 7,252,249
  5. Step 5: Solve for x
    x = 7,252,249/1,228
  6. Step 6: Final answer
    x = 5,905.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.