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Finding the Third Proportional to 20,715.75 and 49,241.25

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Solution

The third proportional to 20,715.75 and 49,241.25 is: 117,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.75 : 49,241.25 = 49,241.25 : x
  2. Step 2: Convert to fraction form
    20,715.75/49,241.25 = 49,241.25/x
  3. Step 3: Cross multiply
    20,715.75x = 49,241.25 × 49,241.25
  4. Step 4: Simplify right side
    20,715.75x = 2,424,700,701.56
  5. Step 5: Solve for x
    x = 2,424,700,701.56/20,715.75
  6. Step 6: Final answer
    x = 117,046.24

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.