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Finding the Third Proportional to 4,312.62 and 6,115.82

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Solution

The third proportional to 4,312.62 and 6,115.82 is: 8,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.62 : 6,115.82 = 6,115.82 : x
  2. Step 2: Convert to fraction form
    4,312.62/6,115.82 = 6,115.82/x
  3. Step 3: Cross multiply
    4,312.62x = 6,115.82 × 6,115.82
  4. Step 4: Simplify right side
    4,312.62x = 37,403,210.31
  5. Step 5: Solve for x
    x = 37,403,210.31/4,312.62
  6. Step 6: Final answer
    x = 8,672.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.