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Finding the Third Proportional to 21,653 and 48,906.75

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Solution

The third proportional to 21,653 and 48,906.75 is: 110,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653 : 48,906.75 = 48,906.75 : x
  2. Step 2: Convert to fraction form
    21,653/48,906.75 = 48,906.75/x
  3. Step 3: Cross multiply
    21,653x = 48,906.75 × 48,906.75
  4. Step 4: Simplify right side
    21,653x = 2,391,870,195.56
  5. Step 5: Solve for x
    x = 2,391,870,195.56/21,653
  6. Step 6: Final answer
    x = 110,463.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.