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Finding the Third Proportional to 7,084.97 and 9,522.56

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Solution

The third proportional to 7,084.97 and 9,522.56 is: 12,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.97 : 9,522.56 = 9,522.56 : x
  2. Step 2: Convert to fraction form
    7,084.97/9,522.56 = 9,522.56/x
  3. Step 3: Cross multiply
    7,084.97x = 9,522.56 × 9,522.56
  4. Step 4: Simplify right side
    7,084.97x = 90,679,196.57
  5. Step 5: Solve for x
    x = 90,679,196.57/7,084.97
  6. Step 6: Final answer
    x = 12,798.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.