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Finding the Third Proportional to 23,230.50 and 50,187

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Solution

The third proportional to 23,230.50 and 50,187 is: 108,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.50 : 50,187 = 50,187 : x
  2. Step 2: Convert to fraction form
    23,230.50/50,187 = 50,187/x
  3. Step 3: Cross multiply
    23,230.50x = 50,187 × 50,187
  4. Step 4: Simplify right side
    23,230.50x = 2,518,734,969
  5. Step 5: Solve for x
    x = 2,518,734,969/23,230.50
  6. Step 6: Final answer
    x = 108,423.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.