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Finding the Third Proportional to 23,176 and 49,634

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Solution

The third proportional to 23,176 and 49,634 is: 106,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176 : 49,634 = 49,634 : x
  2. Step 2: Convert to fraction form
    23,176/49,634 = 49,634/x
  3. Step 3: Cross multiply
    23,176x = 49,634 × 49,634
  4. Step 4: Simplify right side
    23,176x = 2,463,533,956
  5. Step 5: Solve for x
    x = 2,463,533,956/23,176
  6. Step 6: Final answer
    x = 106,296.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.