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Finding the Third Proportional to 33,397 and 51,356

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Solution

The third proportional to 33,397 and 51,356 is: 78,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,397 : 51,356 = 51,356 : x
  2. Step 2: Convert to fraction form
    33,397/51,356 = 51,356/x
  3. Step 3: Cross multiply
    33,397x = 51,356 × 51,356
  4. Step 4: Simplify right side
    33,397x = 2,637,438,736
  5. Step 5: Solve for x
    x = 2,637,438,736/33,397
  6. Step 6: Final answer
    x = 78,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.