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Finding the Third Proportional to 4,438.25 and 9,568.25

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Solution

The third proportional to 4,438.25 and 9,568.25 is: 20,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.25 : 9,568.25 = 9,568.25 : x
  2. Step 2: Convert to fraction form
    4,438.25/9,568.25 = 9,568.25/x
  3. Step 3: Cross multiply
    4,438.25x = 9,568.25 × 9,568.25
  4. Step 4: Simplify right side
    4,438.25x = 91,551,408.06
  5. Step 5: Solve for x
    x = 91,551,408.06/4,438.25
  6. Step 6: Final answer
    x = 20,627.82

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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.