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Finding the Third Proportional to 21,162.52 and 31,640.31

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Solution

The third proportional to 21,162.52 and 31,640.31 is: 47,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.52 : 31,640.31 = 31,640.31 : x
  2. Step 2: Convert to fraction form
    21,162.52/31,640.31 = 31,640.31/x
  3. Step 3: Cross multiply
    21,162.52x = 31,640.31 × 31,640.31
  4. Step 4: Simplify right side
    21,162.52x = 1,001,109,127.91
  5. Step 5: Solve for x
    x = 1,001,109,127.91/21,162.52
  6. Step 6: Final answer
    x = 47,305.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.