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Finding the Third Proportional to 6,832.50 and 10,723.50

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Solution

The third proportional to 6,832.50 and 10,723.50 is: 16,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.50 : 10,723.50 = 10,723.50 : x
  2. Step 2: Convert to fraction form
    6,832.50/10,723.50 = 10,723.50/x
  3. Step 3: Cross multiply
    6,832.50x = 10,723.50 × 10,723.50
  4. Step 4: Simplify right side
    6,832.50x = 114,993,452.25
  5. Step 5: Solve for x
    x = 114,993,452.25/6,832.50
  6. Step 6: Final answer
    x = 16,830.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.