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Finding the Third Proportional to 2,196.19 and 4,728.19

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Solution

The third proportional to 2,196.19 and 4,728.19 is: 10,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.19 : 4,728.19 = 4,728.19 : x
  2. Step 2: Convert to fraction form
    2,196.19/4,728.19 = 4,728.19/x
  3. Step 3: Cross multiply
    2,196.19x = 4,728.19 × 4,728.19
  4. Step 4: Simplify right side
    2,196.19x = 22,355,757.04
  5. Step 5: Solve for x
    x = 22,355,757.04/2,196.19
  6. Step 6: Final answer
    x = 10,179.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.