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Finding the Third Proportional to 23,170.50 and 47,982.38

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Solution

The third proportional to 23,170.50 and 47,982.38 is: 99,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170.50 : 47,982.38 = 47,982.38 : x
  2. Step 2: Convert to fraction form
    23,170.50/47,982.38 = 47,982.38/x
  3. Step 3: Cross multiply
    23,170.50x = 47,982.38 × 47,982.38
  4. Step 4: Simplify right side
    23,170.50x = 2,302,308,310.64
  5. Step 5: Solve for x
    x = 2,302,308,310.64/23,170.50
  6. Step 6: Final answer
    x = 99,363.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.