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Finding the Third Proportional to 6,665.25 and 14,150.50

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Solution

The third proportional to 6,665.25 and 14,150.50 is: 30,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.25 : 14,150.50 = 14,150.50 : x
  2. Step 2: Convert to fraction form
    6,665.25/14,150.50 = 14,150.50/x
  3. Step 3: Cross multiply
    6,665.25x = 14,150.50 × 14,150.50
  4. Step 4: Simplify right side
    6,665.25x = 200,236,650.25
  5. Step 5: Solve for x
    x = 200,236,650.25/6,665.25
  6. Step 6: Final answer
    x = 30,041.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.