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Finding the Third Proportional to 4,196.81 and 9,213.75

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Solution

The third proportional to 4,196.81 and 9,213.75 is: 20,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.81 : 9,213.75 = 9,213.75 : x
  2. Step 2: Convert to fraction form
    4,196.81/9,213.75 = 9,213.75/x
  3. Step 3: Cross multiply
    4,196.81x = 9,213.75 × 9,213.75
  4. Step 4: Simplify right side
    4,196.81x = 84,893,189.06
  5. Step 5: Solve for x
    x = 84,893,189.06/4,196.81
  6. Step 6: Final answer
    x = 20,228.02

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Why These Related Problems?

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