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Finding the Third Proportional to 23,134 and 49,826

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Solution

The third proportional to 23,134 and 49,826 is: 107,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134 : 49,826 = 49,826 : x
  2. Step 2: Convert to fraction form
    23,134/49,826 = 49,826/x
  3. Step 3: Cross multiply
    23,134x = 49,826 × 49,826
  4. Step 4: Simplify right side
    23,134x = 2,482,630,276
  5. Step 5: Solve for x
    x = 2,482,630,276/23,134
  6. Step 6: Final answer
    x = 107,315.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.