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Finding the Third Proportional to 33,411 and 51,376

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Solution

The third proportional to 33,411 and 51,376 is: 79,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411 : 51,376 = 51,376 : x
  2. Step 2: Convert to fraction form
    33,411/51,376 = 51,376/x
  3. Step 3: Cross multiply
    33,411x = 51,376 × 51,376
  4. Step 4: Simplify right side
    33,411x = 2,639,493,376
  5. Step 5: Solve for x
    x = 2,639,493,376/33,411
  6. Step 6: Final answer
    x = 79,000.73

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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.