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Finding the Third Proportional to 8,114.63 and 12,171.38

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Solution

The third proportional to 8,114.63 and 12,171.38 is: 18,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.63 : 12,171.38 = 12,171.38 : x
  2. Step 2: Convert to fraction form
    8,114.63/12,171.38 = 12,171.38/x
  3. Step 3: Cross multiply
    8,114.63x = 12,171.38 × 12,171.38
  4. Step 4: Simplify right side
    8,114.63x = 148,142,369.39
  5. Step 5: Solve for x
    x = 148,142,369.39/8,114.63
  6. Step 6: Final answer
    x = 18,256.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.