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Finding the Third Proportional to 2,841.75 and 6,073.31

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Solution

The third proportional to 2,841.75 and 6,073.31 is: 12,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.75 : 6,073.31 = 6,073.31 : x
  2. Step 2: Convert to fraction form
    2,841.75/6,073.31 = 6,073.31/x
  3. Step 3: Cross multiply
    2,841.75x = 6,073.31 × 6,073.31
  4. Step 4: Simplify right side
    2,841.75x = 36,885,124.72
  5. Step 5: Solve for x
    x = 36,885,124.72/2,841.75
  6. Step 6: Final answer
    x = 12,979.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.