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Finding the Third Proportional to 8,220 and 9,055

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Solution

The third proportional to 8,220 and 9,055 is: 9,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 9,055 = 9,055 : x
  2. Step 2: Convert to fraction form
    8,220/9,055 = 9,055/x
  3. Step 3: Cross multiply
    8,220x = 9,055 × 9,055
  4. Step 4: Simplify right side
    8,220x = 81,993,025
  5. Step 5: Solve for x
    x = 81,993,025/8,220
  6. Step 6: Final answer
    x = 9,974.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.