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Finding the Third Proportional to 51,969.25 and 57,436.75

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Solution

The third proportional to 51,969.25 and 57,436.75 is: 63,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.25 : 57,436.75 = 57,436.75 : x
  2. Step 2: Convert to fraction form
    51,969.25/57,436.75 = 57,436.75/x
  3. Step 3: Cross multiply
    51,969.25x = 57,436.75 × 57,436.75
  4. Step 4: Simplify right side
    51,969.25x = 3,298,980,250.56
  5. Step 5: Solve for x
    x = 3,298,980,250.56/51,969.25
  6. Step 6: Final answer
    x = 63,479.47

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.