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Finding the Third Proportional to 22,666.31 and 31,863

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Solution

The third proportional to 22,666.31 and 31,863 is: 44,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.31 : 31,863 = 31,863 : x
  2. Step 2: Convert to fraction form
    22,666.31/31,863 = 31,863/x
  3. Step 3: Cross multiply
    22,666.31x = 31,863 × 31,863
  4. Step 4: Simplify right side
    22,666.31x = 1,015,250,769
  5. Step 5: Solve for x
    x = 1,015,250,769/22,666.31
  6. Step 6: Final answer
    x = 44,791.17

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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.