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Finding the Third Proportional to 23,434.50 and 50,757

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Solution

The third proportional to 23,434.50 and 50,757 is: 109,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.50 : 50,757 = 50,757 : x
  2. Step 2: Convert to fraction form
    23,434.50/50,757 = 50,757/x
  3. Step 3: Cross multiply
    23,434.50x = 50,757 × 50,757
  4. Step 4: Simplify right side
    23,434.50x = 2,576,273,049
  5. Step 5: Solve for x
    x = 2,576,273,049/23,434.50
  6. Step 6: Final answer
    x = 109,935.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.