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Finding the Third Proportional to 12,299.50 and 17,259

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Solution

The third proportional to 12,299.50 and 17,259 is: 24,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.50 : 17,259 = 17,259 : x
  2. Step 2: Convert to fraction form
    12,299.50/17,259 = 17,259/x
  3. Step 3: Cross multiply
    12,299.50x = 17,259 × 17,259
  4. Step 4: Simplify right side
    12,299.50x = 297,873,081
  5. Step 5: Solve for x
    x = 297,873,081/12,299.50
  6. Step 6: Final answer
    x = 24,218.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.