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Finding the Third Proportional to 33,740 and 49,383

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Solution

The third proportional to 33,740 and 49,383 is: 72,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740 : 49,383 = 49,383 : x
  2. Step 2: Convert to fraction form
    33,740/49,383 = 49,383/x
  3. Step 3: Cross multiply
    33,740x = 49,383 × 49,383
  4. Step 4: Simplify right side
    33,740x = 2,438,680,689
  5. Step 5: Solve for x
    x = 2,438,680,689/33,740
  6. Step 6: Final answer
    x = 72,278.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.