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Finding the Third Proportional to 33,400 and 51,359

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Solution

The third proportional to 33,400 and 51,359 is: 78,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 51,359 = 51,359 : x
  2. Step 2: Convert to fraction form
    33,400/51,359 = 51,359/x
  3. Step 3: Cross multiply
    33,400x = 51,359 × 51,359
  4. Step 4: Simplify right side
    33,400x = 2,637,746,881
  5. Step 5: Solve for x
    x = 2,637,746,881/33,400
  6. Step 6: Final answer
    x = 78,974.46

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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.