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Finding the Third Proportional to 22,743 and 31,318.50

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Solution

The third proportional to 22,743 and 31,318.50 is: 43,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743 : 31,318.50 = 31,318.50 : x
  2. Step 2: Convert to fraction form
    22,743/31,318.50 = 31,318.50/x
  3. Step 3: Cross multiply
    22,743x = 31,318.50 × 31,318.50
  4. Step 4: Simplify right side
    22,743x = 980,848,442.25
  5. Step 5: Solve for x
    x = 980,848,442.25/22,743
  6. Step 6: Final answer
    x = 43,127.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.