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Finding the Third Proportional to 33,382 and 51,988

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Solution

The third proportional to 33,382 and 51,988 is: 80,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382 : 51,988 = 51,988 : x
  2. Step 2: Convert to fraction form
    33,382/51,988 = 51,988/x
  3. Step 3: Cross multiply
    33,382x = 51,988 × 51,988
  4. Step 4: Simplify right side
    33,382x = 2,702,752,144
  5. Step 5: Solve for x
    x = 2,702,752,144/33,382
  6. Step 6: Final answer
    x = 80,964.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.