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Finding the Third Proportional to 23,112 and 47,319.19

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Solution

The third proportional to 23,112 and 47,319.19 is: 96,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 47,319.19 = 47,319.19 : x
  2. Step 2: Convert to fraction form
    23,112/47,319.19 = 47,319.19/x
  3. Step 3: Cross multiply
    23,112x = 47,319.19 × 47,319.19
  4. Step 4: Simplify right side
    23,112x = 2,239,105,505.66
  5. Step 5: Solve for x
    x = 2,239,105,505.66/23,112
  6. Step 6: Final answer
    x = 96,880.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.