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Finding the Third Proportional to 4,399.28 and 9,486.22

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Solution

The third proportional to 4,399.28 and 9,486.22 is: 20,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.28 : 9,486.22 = 9,486.22 : x
  2. Step 2: Convert to fraction form
    4,399.28/9,486.22 = 9,486.22/x
  3. Step 3: Cross multiply
    4,399.28x = 9,486.22 × 9,486.22
  4. Step 4: Simplify right side
    4,399.28x = 89,988,346.17
  5. Step 5: Solve for x
    x = 89,988,346.17/4,399.28
  6. Step 6: Final answer
    x = 20,455.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.