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Finding the Third Proportional to 8,172.75 and 12,677.63

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Solution

The third proportional to 8,172.75 and 12,677.63 is: 19,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.75 : 12,677.63 = 12,677.63 : x
  2. Step 2: Convert to fraction form
    8,172.75/12,677.63 = 12,677.63/x
  3. Step 3: Cross multiply
    8,172.75x = 12,677.63 × 12,677.63
  4. Step 4: Simplify right side
    8,172.75x = 160,722,175.64
  5. Step 5: Solve for x
    x = 160,722,175.64/8,172.75
  6. Step 6: Final answer
    x = 19,665.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.