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Finding the Third Proportional to 23,908.50 and 47,220.75

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Solution

The third proportional to 23,908.50 and 47,220.75 is: 93,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.50 : 47,220.75 = 47,220.75 : x
  2. Step 2: Convert to fraction form
    23,908.50/47,220.75 = 47,220.75/x
  3. Step 3: Cross multiply
    23,908.50x = 47,220.75 × 47,220.75
  4. Step 4: Simplify right side
    23,908.50x = 2,229,799,230.56
  5. Step 5: Solve for x
    x = 2,229,799,230.56/23,908.50
  6. Step 6: Final answer
    x = 93,263.87

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.