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Finding the Third Proportional to 18,056 and 33,529

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Solution

The third proportional to 18,056 and 33,529 is: 62,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,056 : 33,529 = 33,529 : x
  2. Step 2: Convert to fraction form
    18,056/33,529 = 33,529/x
  3. Step 3: Cross multiply
    18,056x = 33,529 × 33,529
  4. Step 4: Simplify right side
    18,056x = 1,124,193,841
  5. Step 5: Solve for x
    x = 1,124,193,841/18,056
  6. Step 6: Final answer
    x = 62,261.51

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.