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Finding the Third Proportional to 23,998.50 and 31,844.81

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Solution

The third proportional to 23,998.50 and 31,844.81 is: 42,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998.50 : 31,844.81 = 31,844.81 : x
  2. Step 2: Convert to fraction form
    23,998.50/31,844.81 = 31,844.81/x
  3. Step 3: Cross multiply
    23,998.50x = 31,844.81 × 31,844.81
  4. Step 4: Simplify right side
    23,998.50x = 1,014,092,083.16
  5. Step 5: Solve for x
    x = 1,014,092,083.16/23,998.50
  6. Step 6: Final answer
    x = 42,256.48

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.