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Finding the Third Proportional to 23,022.56 and 50,373.56

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Solution

The third proportional to 23,022.56 and 50,373.56 is: 110,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.56 : 50,373.56 = 50,373.56 : x
  2. Step 2: Convert to fraction form
    23,022.56/50,373.56 = 50,373.56/x
  3. Step 3: Cross multiply
    23,022.56x = 50,373.56 × 50,373.56
  4. Step 4: Simplify right side
    23,022.56x = 2,537,495,798.94
  5. Step 5: Solve for x
    x = 2,537,495,798.94/23,022.56
  6. Step 6: Final answer
    x = 110,217.78

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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.