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Finding the Third Proportional to 22,150.50 and 31,983.75

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Solution

The third proportional to 22,150.50 and 31,983.75 is: 46,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,150.50 : 31,983.75 = 31,983.75 : x
  2. Step 2: Convert to fraction form
    22,150.50/31,983.75 = 31,983.75/x
  3. Step 3: Cross multiply
    22,150.50x = 31,983.75 × 31,983.75
  4. Step 4: Simplify right side
    22,150.50x = 1,022,960,264.06
  5. Step 5: Solve for x
    x = 1,022,960,264.06/22,150.50
  6. Step 6: Final answer
    x = 46,182.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.