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Finding the Third Proportional to 10,267 and 13,481.50

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Solution

The third proportional to 10,267 and 13,481.50 is: 17,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267 : 13,481.50 = 13,481.50 : x
  2. Step 2: Convert to fraction form
    10,267/13,481.50 = 13,481.50/x
  3. Step 3: Cross multiply
    10,267x = 13,481.50 × 13,481.50
  4. Step 4: Simplify right side
    10,267x = 181,750,842.25
  5. Step 5: Solve for x
    x = 181,750,842.25/10,267
  6. Step 6: Final answer
    x = 17,702.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.