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Finding the Third Proportional to 15,227 and 32,866

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Solution

The third proportional to 15,227 and 32,866 is: 70,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227 : 32,866 = 32,866 : x
  2. Step 2: Convert to fraction form
    15,227/32,866 = 32,866/x
  3. Step 3: Cross multiply
    15,227x = 32,866 × 32,866
  4. Step 4: Simplify right side
    15,227x = 1,080,173,956
  5. Step 5: Solve for x
    x = 1,080,173,956/15,227
  6. Step 6: Final answer
    x = 70,938.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.