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Finding the Third Proportional to 48,326 and 68,054

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Solution

The third proportional to 48,326 and 68,054 is: 95,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,326 : 68,054 = 68,054 : x
  2. Step 2: Convert to fraction form
    48,326/68,054 = 68,054/x
  3. Step 3: Cross multiply
    48,326x = 68,054 × 68,054
  4. Step 4: Simplify right side
    48,326x = 4,631,346,916
  5. Step 5: Solve for x
    x = 4,631,346,916/48,326
  6. Step 6: Final answer
    x = 95,835.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.