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Finding the Third Proportional to 3,814.59 and 6,996.38

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Solution

The third proportional to 3,814.59 and 6,996.38 is: 12,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.59 : 6,996.38 = 6,996.38 : x
  2. Step 2: Convert to fraction form
    3,814.59/6,996.38 = 6,996.38/x
  3. Step 3: Cross multiply
    3,814.59x = 6,996.38 × 6,996.38
  4. Step 4: Simplify right side
    3,814.59x = 48,949,263.14
  5. Step 5: Solve for x
    x = 48,949,263.14/3,814.59
  6. Step 6: Final answer
    x = 12,832.10

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.