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Finding the Third Proportional to 27,219 and 38,529

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Solution

The third proportional to 27,219 and 38,529 is: 54,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219 : 38,529 = 38,529 : x
  2. Step 2: Convert to fraction form
    27,219/38,529 = 38,529/x
  3. Step 3: Cross multiply
    27,219x = 38,529 × 38,529
  4. Step 4: Simplify right side
    27,219x = 1,484,483,841
  5. Step 5: Solve for x
    x = 1,484,483,841/27,219
  6. Step 6: Final answer
    x = 54,538.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.