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Finding the Third Proportional to 9,247.31 and 13,084.75

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Solution

The third proportional to 9,247.31 and 13,084.75 is: 18,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.31 : 13,084.75 = 13,084.75 : x
  2. Step 2: Convert to fraction form
    9,247.31/13,084.75 = 13,084.75/x
  3. Step 3: Cross multiply
    9,247.31x = 13,084.75 × 13,084.75
  4. Step 4: Simplify right side
    9,247.31x = 171,210,682.56
  5. Step 5: Solve for x
    x = 171,210,682.56/9,247.31
  6. Step 6: Final answer
    x = 18,514.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.