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Finding the Third Proportional to 22,667.06 and 31,864.22

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Solution

The third proportional to 22,667.06 and 31,864.22 is: 44,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.06 : 31,864.22 = 31,864.22 : x
  2. Step 2: Convert to fraction form
    22,667.06/31,864.22 = 31,864.22/x
  3. Step 3: Cross multiply
    22,667.06x = 31,864.22 × 31,864.22
  4. Step 4: Simplify right side
    22,667.06x = 1,015,328,436.55
  5. Step 5: Solve for x
    x = 1,015,328,436.55/22,667.06
  6. Step 6: Final answer
    x = 44,793.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.