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Finding the Third Proportional to 5,955.75 and 8,364.38

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Solution

The third proportional to 5,955.75 and 8,364.38 is: 11,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.75 : 8,364.38 = 8,364.38 : x
  2. Step 2: Convert to fraction form
    5,955.75/8,364.38 = 8,364.38/x
  3. Step 3: Cross multiply
    5,955.75x = 8,364.38 × 8,364.38
  4. Step 4: Simplify right side
    5,955.75x = 69,962,769.14
  5. Step 5: Solve for x
    x = 69,962,769.14/5,955.75
  6. Step 6: Final answer
    x = 11,747.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.