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Finding the Third Proportional to 12,155.06 and 17,766.84

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Solution

The third proportional to 12,155.06 and 17,766.84 is: 25,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.06 : 17,766.84 = 17,766.84 : x
  2. Step 2: Convert to fraction form
    12,155.06/17,766.84 = 17,766.84/x
  3. Step 3: Cross multiply
    12,155.06x = 17,766.84 × 17,766.84
  4. Step 4: Simplify right side
    12,155.06x = 315,660,736.84
  5. Step 5: Solve for x
    x = 315,660,736.84/12,155.06
  6. Step 6: Final answer
    x = 25,969.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.