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Finding the Third Proportional to 6,167.75 and 9,405.75

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Solution

The third proportional to 6,167.75 and 9,405.75 is: 14,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.75 : 9,405.75 = 9,405.75 : x
  2. Step 2: Convert to fraction form
    6,167.75/9,405.75 = 9,405.75/x
  3. Step 3: Cross multiply
    6,167.75x = 9,405.75 × 9,405.75
  4. Step 4: Simplify right side
    6,167.75x = 88,468,133.06
  5. Step 5: Solve for x
    x = 88,468,133.06/6,167.75
  6. Step 6: Final answer
    x = 14,343.66

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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.