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Finding the Third Proportional to 5,043.94 and 7,611.47

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Solution

The third proportional to 5,043.94 and 7,611.47 is: 11,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.94 : 7,611.47 = 7,611.47 : x
  2. Step 2: Convert to fraction form
    5,043.94/7,611.47 = 7,611.47/x
  3. Step 3: Cross multiply
    5,043.94x = 7,611.47 × 7,611.47
  4. Step 4: Simplify right side
    5,043.94x = 57,934,456.53
  5. Step 5: Solve for x
    x = 57,934,456.53/5,043.94
  6. Step 6: Final answer
    x = 11,485.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.