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Finding the Third Proportional to 15,267 and 32,174

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Solution

The third proportional to 15,267 and 32,174 is: 67,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,267 : 32,174 = 32,174 : x
  2. Step 2: Convert to fraction form
    15,267/32,174 = 32,174/x
  3. Step 3: Cross multiply
    15,267x = 32,174 × 32,174
  4. Step 4: Simplify right side
    15,267x = 1,035,166,276
  5. Step 5: Solve for x
    x = 1,035,166,276/15,267
  6. Step 6: Final answer
    x = 67,804.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.