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Finding the Third Proportional to 8,908.50 and 12,080.25

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Solution

The third proportional to 8,908.50 and 12,080.25 is: 16,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908.50 : 12,080.25 = 12,080.25 : x
  2. Step 2: Convert to fraction form
    8,908.50/12,080.25 = 12,080.25/x
  3. Step 3: Cross multiply
    8,908.50x = 12,080.25 × 12,080.25
  4. Step 4: Simplify right side
    8,908.50x = 145,932,440.06
  5. Step 5: Solve for x
    x = 145,932,440.06/8,908.50
  6. Step 6: Final answer
    x = 16,381.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.