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Finding the Third Proportional to 22,350.75 and 31,322.25

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Solution

The third proportional to 22,350.75 and 31,322.25 is: 43,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,350.75 : 31,322.25 = 31,322.25 : x
  2. Step 2: Convert to fraction form
    22,350.75/31,322.25 = 31,322.25/x
  3. Step 3: Cross multiply
    22,350.75x = 31,322.25 × 31,322.25
  4. Step 4: Simplify right side
    22,350.75x = 981,083,345.06
  5. Step 5: Solve for x
    x = 981,083,345.06/22,350.75
  6. Step 6: Final answer
    x = 43,894.87

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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.