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Finding the Third Proportional to 7,568.44 and 11,355.19

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Solution

The third proportional to 7,568.44 and 11,355.19 is: 17,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.44 : 11,355.19 = 11,355.19 : x
  2. Step 2: Convert to fraction form
    7,568.44/11,355.19 = 11,355.19/x
  3. Step 3: Cross multiply
    7,568.44x = 11,355.19 × 11,355.19
  4. Step 4: Simplify right side
    7,568.44x = 128,940,283.16
  5. Step 5: Solve for x
    x = 128,940,283.16/7,568.44
  6. Step 6: Final answer
    x = 17,036.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.