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Finding the Third Proportional to 23,833.13 and 50,747.63

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Solution

The third proportional to 23,833.13 and 50,747.63 is: 108,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.13 : 50,747.63 = 50,747.63 : x
  2. Step 2: Convert to fraction form
    23,833.13/50,747.63 = 50,747.63/x
  3. Step 3: Cross multiply
    23,833.13x = 50,747.63 × 50,747.63
  4. Step 4: Simplify right side
    23,833.13x = 2,575,321,443.14
  5. Step 5: Solve for x
    x = 2,575,321,443.14/23,833.13
  6. Step 6: Final answer
    x = 108,056.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.