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Finding the Third Proportional to 12,126 and 18,204.56

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Solution

The third proportional to 12,126 and 18,204.56 is: 27,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126 : 18,204.56 = 18,204.56 : x
  2. Step 2: Convert to fraction form
    12,126/18,204.56 = 18,204.56/x
  3. Step 3: Cross multiply
    12,126x = 18,204.56 × 18,204.56
  4. Step 4: Simplify right side
    12,126x = 331,406,095.82
  5. Step 5: Solve for x
    x = 331,406,095.82/12,126
  6. Step 6: Final answer
    x = 27,330.21

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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.