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Finding the Third Proportional to 3,196.13 and 4,956.19

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Solution

The third proportional to 3,196.13 and 4,956.19 is: 7,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.13 : 4,956.19 = 4,956.19 : x
  2. Step 2: Convert to fraction form
    3,196.13/4,956.19 = 4,956.19/x
  3. Step 3: Cross multiply
    3,196.13x = 4,956.19 × 4,956.19
  4. Step 4: Simplify right side
    3,196.13x = 24,563,794.54
  5. Step 5: Solve for x
    x = 24,563,794.54/3,196.13
  6. Step 6: Final answer
    x = 7,685.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.