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Finding the Third Proportional to 6,475.25 and 9,500.41

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Solution

The third proportional to 6,475.25 and 9,500.41 is: 13,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.25 : 9,500.41 = 9,500.41 : x
  2. Step 2: Convert to fraction form
    6,475.25/9,500.41 = 9,500.41/x
  3. Step 3: Cross multiply
    6,475.25x = 9,500.41 × 9,500.41
  4. Step 4: Simplify right side
    6,475.25x = 90,257,867.36
  5. Step 5: Solve for x
    x = 90,257,867.36/6,475.25
  6. Step 6: Final answer
    x = 13,938.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.