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Finding the Third Proportional to 3,557.67 and 6,671.11

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Solution

The third proportional to 3,557.67 and 6,671.11 is: 12,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.67 : 6,671.11 = 6,671.11 : x
  2. Step 2: Convert to fraction form
    3,557.67/6,671.11 = 6,671.11/x
  3. Step 3: Cross multiply
    3,557.67x = 6,671.11 × 6,671.11
  4. Step 4: Simplify right side
    3,557.67x = 44,503,700.29
  5. Step 5: Solve for x
    x = 44,503,700.29/3,557.67
  6. Step 6: Final answer
    x = 12,509.22

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.