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Finding the Third Proportional to 27,298 and 41,731

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Solution

The third proportional to 27,298 and 41,731 is: 63,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298 : 41,731 = 41,731 : x
  2. Step 2: Convert to fraction form
    27,298/41,731 = 41,731/x
  3. Step 3: Cross multiply
    27,298x = 41,731 × 41,731
  4. Step 4: Simplify right side
    27,298x = 1,741,476,361
  5. Step 5: Solve for x
    x = 1,741,476,361/27,298
  6. Step 6: Final answer
    x = 63,795.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.