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Finding the Third Proportional to 33,260 and 51,498

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Solution

The third proportional to 33,260 and 51,498 is: 79,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,260 : 51,498 = 51,498 : x
  2. Step 2: Convert to fraction form
    33,260/51,498 = 51,498/x
  3. Step 3: Cross multiply
    33,260x = 51,498 × 51,498
  4. Step 4: Simplify right side
    33,260x = 2,652,044,004
  5. Step 5: Solve for x
    x = 2,652,044,004/33,260
  6. Step 6: Final answer
    x = 79,736.74

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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.