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Finding the Third Proportional to 36,508 and 54,966

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Solution

The third proportional to 36,508 and 54,966 is: 82,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508 : 54,966 = 54,966 : x
  2. Step 2: Convert to fraction form
    36,508/54,966 = 54,966/x
  3. Step 3: Cross multiply
    36,508x = 54,966 × 54,966
  4. Step 4: Simplify right side
    36,508x = 3,021,261,156
  5. Step 5: Solve for x
    x = 3,021,261,156/36,508
  6. Step 6: Final answer
    x = 82,756.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.