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Finding the Third Proportional to 33,257 and 51,429

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Solution

The third proportional to 33,257 and 51,429 is: 79,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,257 : 51,429 = 51,429 : x
  2. Step 2: Convert to fraction form
    33,257/51,429 = 51,429/x
  3. Step 3: Cross multiply
    33,257x = 51,429 × 51,429
  4. Step 4: Simplify right side
    33,257x = 2,644,942,041
  5. Step 5: Solve for x
    x = 2,644,942,041/33,257
  6. Step 6: Final answer
    x = 79,530.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.