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Finding the Third Proportional to 33,435 and 51,519

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Solution

The third proportional to 33,435 and 51,519 is: 79,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435 : 51,519 = 51,519 : x
  2. Step 2: Convert to fraction form
    33,435/51,519 = 51,519/x
  3. Step 3: Cross multiply
    33,435x = 51,519 × 51,519
  4. Step 4: Simplify right side
    33,435x = 2,654,207,361
  5. Step 5: Solve for x
    x = 2,654,207,361/33,435
  6. Step 6: Final answer
    x = 79,384.10

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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.