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Finding the Third Proportional to 23,706 and 48,093.75

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Solution

The third proportional to 23,706 and 48,093.75 is: 97,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706 : 48,093.75 = 48,093.75 : x
  2. Step 2: Convert to fraction form
    23,706/48,093.75 = 48,093.75/x
  3. Step 3: Cross multiply
    23,706x = 48,093.75 × 48,093.75
  4. Step 4: Simplify right side
    23,706x = 2,313,008,789.06
  5. Step 5: Solve for x
    x = 2,313,008,789.06/23,706
  6. Step 6: Final answer
    x = 97,570.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.