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Finding the Third Proportional to 3,165.38 and 6,671.63

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Solution

The third proportional to 3,165.38 and 6,671.63 is: 14,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.38 : 6,671.63 = 6,671.63 : x
  2. Step 2: Convert to fraction form
    3,165.38/6,671.63 = 6,671.63/x
  3. Step 3: Cross multiply
    3,165.38x = 6,671.63 × 6,671.63
  4. Step 4: Simplify right side
    3,165.38x = 44,510,580.14
  5. Step 5: Solve for x
    x = 44,510,580.14/3,165.38
  6. Step 6: Final answer
    x = 14,061.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.