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Finding the Third Proportional to 6,009.19 and 9,441.56

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Solution

The third proportional to 6,009.19 and 9,441.56 is: 14,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.19 : 9,441.56 = 9,441.56 : x
  2. Step 2: Convert to fraction form
    6,009.19/9,441.56 = 9,441.56/x
  3. Step 3: Cross multiply
    6,009.19x = 9,441.56 × 9,441.56
  4. Step 4: Simplify right side
    6,009.19x = 89,143,102.44
  5. Step 5: Solve for x
    x = 89,143,102.44/6,009.19
  6. Step 6: Final answer
    x = 14,834.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.