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Finding the Third Proportional to 22,327 and 31,216.50

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Solution

The third proportional to 22,327 and 31,216.50 is: 43,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327 : 31,216.50 = 31,216.50 : x
  2. Step 2: Convert to fraction form
    22,327/31,216.50 = 31,216.50/x
  3. Step 3: Cross multiply
    22,327x = 31,216.50 × 31,216.50
  4. Step 4: Simplify right side
    22,327x = 974,469,872.25
  5. Step 5: Solve for x
    x = 974,469,872.25/22,327
  6. Step 6: Final answer
    x = 43,645.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.