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Finding the Third Proportional to 26,819 and 44,441

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Solution

The third proportional to 26,819 and 44,441 is: 73,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,819 : 44,441 = 44,441 : x
  2. Step 2: Convert to fraction form
    26,819/44,441 = 44,441/x
  3. Step 3: Cross multiply
    26,819x = 44,441 × 44,441
  4. Step 4: Simplify right side
    26,819x = 1,975,002,481
  5. Step 5: Solve for x
    x = 1,975,002,481/26,819
  6. Step 6: Final answer
    x = 73,641.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.