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Finding the Third Proportional to 22,383.75 and 31,377

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Solution

The third proportional to 22,383.75 and 31,377 is: 43,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.75 : 31,377 = 31,377 : x
  2. Step 2: Convert to fraction form
    22,383.75/31,377 = 31,377/x
  3. Step 3: Cross multiply
    22,383.75x = 31,377 × 31,377
  4. Step 4: Simplify right side
    22,383.75x = 984,516,129
  5. Step 5: Solve for x
    x = 984,516,129/22,383.75
  6. Step 6: Final answer
    x = 43,983.52

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