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Finding the Third Proportional to 33,436 and 51,522

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Solution

The third proportional to 33,436 and 51,522 is: 79,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,436 : 51,522 = 51,522 : x
  2. Step 2: Convert to fraction form
    33,436/51,522 = 51,522/x
  3. Step 3: Cross multiply
    33,436x = 51,522 × 51,522
  4. Step 4: Simplify right side
    33,436x = 2,654,516,484
  5. Step 5: Solve for x
    x = 2,654,516,484/33,436
  6. Step 6: Final answer
    x = 79,390.97

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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.