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Finding the Third Proportional to 6,914.25 and 10,361.25

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Solution

The third proportional to 6,914.25 and 10,361.25 is: 15,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.25 : 10,361.25 = 10,361.25 : x
  2. Step 2: Convert to fraction form
    6,914.25/10,361.25 = 10,361.25/x
  3. Step 3: Cross multiply
    6,914.25x = 10,361.25 × 10,361.25
  4. Step 4: Simplify right side
    6,914.25x = 107,355,501.56
  5. Step 5: Solve for x
    x = 107,355,501.56/6,914.25
  6. Step 6: Final answer
    x = 15,526.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.