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Finding the Third Proportional to 23,247 and 50,116.50

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Solution

The third proportional to 23,247 and 50,116.50 is: 108,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247 : 50,116.50 = 50,116.50 : x
  2. Step 2: Convert to fraction form
    23,247/50,116.50 = 50,116.50/x
  3. Step 3: Cross multiply
    23,247x = 50,116.50 × 50,116.50
  4. Step 4: Simplify right side
    23,247x = 2,511,663,572.25
  5. Step 5: Solve for x
    x = 2,511,663,572.25/23,247
  6. Step 6: Final answer
    x = 108,042.48

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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.