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Finding the Third Proportional to 21,021.75 and 31,350.38

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Solution

The third proportional to 21,021.75 and 31,350.38 is: 46,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.75 : 31,350.38 = 31,350.38 : x
  2. Step 2: Convert to fraction form
    21,021.75/31,350.38 = 31,350.38/x
  3. Step 3: Cross multiply
    21,021.75x = 31,350.38 × 31,350.38
  4. Step 4: Simplify right side
    21,021.75x = 982,846,012.64
  5. Step 5: Solve for x
    x = 982,846,012.64/21,021.75
  6. Step 6: Final answer
    x = 46,753.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.