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Finding the Third Proportional to 20,391.75 and 31,762.13

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Solution

The third proportional to 20,391.75 and 31,762.13 is: 49,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.75 : 31,762.13 = 31,762.13 : x
  2. Step 2: Convert to fraction form
    20,391.75/31,762.13 = 31,762.13/x
  3. Step 3: Cross multiply
    20,391.75x = 31,762.13 × 31,762.13
  4. Step 4: Simplify right side
    20,391.75x = 1,008,832,584.52
  5. Step 5: Solve for x
    x = 1,008,832,584.52/20,391.75
  6. Step 6: Final answer
    x = 49,472.58

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.