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Finding the Third Proportional to 12,591 and 14,251.50

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Solution

The third proportional to 12,591 and 14,251.50 is: 16,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 14,251.50 = 14,251.50 : x
  2. Step 2: Convert to fraction form
    12,591/14,251.50 = 14,251.50/x
  3. Step 3: Cross multiply
    12,591x = 14,251.50 × 14,251.50
  4. Step 4: Simplify right side
    12,591x = 203,105,252.25
  5. Step 5: Solve for x
    x = 203,105,252.25/12,591
  6. Step 6: Final answer
    x = 16,130.99

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.