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Finding the Third Proportional to 23,037.75 and 50,365.13

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Solution

The third proportional to 23,037.75 and 50,365.13 is: 110,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.75 : 50,365.13 = 50,365.13 : x
  2. Step 2: Convert to fraction form
    23,037.75/50,365.13 = 50,365.13/x
  3. Step 3: Cross multiply
    23,037.75x = 50,365.13 × 50,365.13
  4. Step 4: Simplify right side
    23,037.75x = 2,536,645,816.27
  5. Step 5: Solve for x
    x = 2,536,645,816.27/23,037.75
  6. Step 6: Final answer
    x = 110,108.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.