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Finding the Third Proportional to 23,438.25 and 50,877

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Solution

The third proportional to 23,438.25 and 50,877 is: 110,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.25 : 50,877 = 50,877 : x
  2. Step 2: Convert to fraction form
    23,438.25/50,877 = 50,877/x
  3. Step 3: Cross multiply
    23,438.25x = 50,877 × 50,877
  4. Step 4: Simplify right side
    23,438.25x = 2,588,469,129
  5. Step 5: Solve for x
    x = 2,588,469,129/23,438.25
  6. Step 6: Final answer
    x = 110,437.82

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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.