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Finding the Third Proportional to 4,196.81 and 8,191.13

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Solution

The third proportional to 4,196.81 and 8,191.13 is: 15,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.81 : 8,191.13 = 8,191.13 : x
  2. Step 2: Convert to fraction form
    4,196.81/8,191.13 = 8,191.13/x
  3. Step 3: Cross multiply
    4,196.81x = 8,191.13 × 8,191.13
  4. Step 4: Simplify right side
    4,196.81x = 67,094,528.77
  5. Step 5: Solve for x
    x = 67,094,528.77/4,196.81
  6. Step 6: Final answer
    x = 15,987.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.