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Finding the Third Proportional to 33,291 and 49,437

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Solution

The third proportional to 33,291 and 49,437 is: 73,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291 : 49,437 = 49,437 : x
  2. Step 2: Convert to fraction form
    33,291/49,437 = 49,437/x
  3. Step 3: Cross multiply
    33,291x = 49,437 × 49,437
  4. Step 4: Simplify right side
    33,291x = 2,444,016,969
  5. Step 5: Solve for x
    x = 2,444,016,969/33,291
  6. Step 6: Final answer
    x = 73,413.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.