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Finding the Third Proportional to 23,163 and 31,463.25

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Solution

The third proportional to 23,163 and 31,463.25 is: 42,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163 : 31,463.25 = 31,463.25 : x
  2. Step 2: Convert to fraction form
    23,163/31,463.25 = 31,463.25/x
  3. Step 3: Cross multiply
    23,163x = 31,463.25 × 31,463.25
  4. Step 4: Simplify right side
    23,163x = 989,936,100.56
  5. Step 5: Solve for x
    x = 989,936,100.56/23,163
  6. Step 6: Final answer
    x = 42,737.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.