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Finding the Third Proportional to 2,196.28 and 3,489.94

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Solution

The third proportional to 2,196.28 and 3,489.94 is: 5,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.28 : 3,489.94 = 3,489.94 : x
  2. Step 2: Convert to fraction form
    2,196.28/3,489.94 = 3,489.94/x
  3. Step 3: Cross multiply
    2,196.28x = 3,489.94 × 3,489.94
  4. Step 4: Simplify right side
    2,196.28x = 12,179,663.75
  5. Step 5: Solve for x
    x = 12,179,663.75/2,196.28
  6. Step 6: Final answer
    x = 5,545.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.