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Finding the Third Proportional to 23,184 and 49,977

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Solution

The third proportional to 23,184 and 49,977 is: 107,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184 : 49,977 = 49,977 : x
  2. Step 2: Convert to fraction form
    23,184/49,977 = 49,977/x
  3. Step 3: Cross multiply
    23,184x = 49,977 × 49,977
  4. Step 4: Simplify right side
    23,184x = 2,497,700,529
  5. Step 5: Solve for x
    x = 2,497,700,529/23,184
  6. Step 6: Final answer
    x = 107,733.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.