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Finding the Third Proportional to 6,065.50 and 9,207.75

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Solution

The third proportional to 6,065.50 and 9,207.75 is: 13,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.50 : 9,207.75 = 9,207.75 : x
  2. Step 2: Convert to fraction form
    6,065.50/9,207.75 = 9,207.75/x
  3. Step 3: Cross multiply
    6,065.50x = 9,207.75 × 9,207.75
  4. Step 4: Simplify right side
    6,065.50x = 84,782,660.06
  5. Step 5: Solve for x
    x = 84,782,660.06/6,065.50
  6. Step 6: Final answer
    x = 13,977.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.