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Finding the Third Proportional to 22,977 and 36,864

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Solution

The third proportional to 22,977 and 36,864 is: 59,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 36,864 = 36,864 : x
  2. Step 2: Convert to fraction form
    22,977/36,864 = 36,864/x
  3. Step 3: Cross multiply
    22,977x = 36,864 × 36,864
  4. Step 4: Simplify right side
    22,977x = 1,358,954,496
  5. Step 5: Solve for x
    x = 1,358,954,496/22,977
  6. Step 6: Final answer
    x = 59,144.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.