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Finding the Third Proportional to 33,033 and 49,551

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Solution

The third proportional to 33,033 and 49,551 is: 74,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033 : 49,551 = 49,551 : x
  2. Step 2: Convert to fraction form
    33,033/49,551 = 49,551/x
  3. Step 3: Cross multiply
    33,033x = 49,551 × 49,551
  4. Step 4: Simplify right side
    33,033x = 2,455,301,601
  5. Step 5: Solve for x
    x = 2,455,301,601/33,033
  6. Step 6: Final answer
    x = 74,328.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.