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Finding the Third Proportional to 12,731.50 and 28,379

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Solution

The third proportional to 12,731.50 and 28,379 is: 63,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.50 : 28,379 = 28,379 : x
  2. Step 2: Convert to fraction form
    12,731.50/28,379 = 28,379/x
  3. Step 3: Cross multiply
    12,731.50x = 28,379 × 28,379
  4. Step 4: Simplify right side
    12,731.50x = 805,367,641
  5. Step 5: Solve for x
    x = 805,367,641/12,731.50
  6. Step 6: Final answer
    x = 63,257.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.