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Finding the Third Proportional to 7,851.94 and 12,522.09

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Solution

The third proportional to 7,851.94 and 12,522.09 is: 19,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.94 : 12,522.09 = 12,522.09 : x
  2. Step 2: Convert to fraction form
    7,851.94/12,522.09 = 12,522.09/x
  3. Step 3: Cross multiply
    7,851.94x = 12,522.09 × 12,522.09
  4. Step 4: Simplify right side
    7,851.94x = 156,802,831.88
  5. Step 5: Solve for x
    x = 156,802,831.88/7,851.94
  6. Step 6: Final answer
    x = 19,969.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.