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Finding the Third Proportional to 5,192.25 and 7,850.31

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Solution

The third proportional to 5,192.25 and 7,850.31 is: 11,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.25 : 7,850.31 = 7,850.31 : x
  2. Step 2: Convert to fraction form
    5,192.25/7,850.31 = 7,850.31/x
  3. Step 3: Cross multiply
    5,192.25x = 7,850.31 × 7,850.31
  4. Step 4: Simplify right side
    5,192.25x = 61,627,406.35
  5. Step 5: Solve for x
    x = 61,627,406.35/5,192.25
  6. Step 6: Final answer
    x = 11,869.11

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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.