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Finding the Third Proportional to 12,129.12 and 18,412.47

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Solution

The third proportional to 12,129.12 and 18,412.47 is: 27,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.12 : 18,412.47 = 18,412.47 : x
  2. Step 2: Convert to fraction form
    12,129.12/18,412.47 = 18,412.47/x
  3. Step 3: Cross multiply
    12,129.12x = 18,412.47 × 18,412.47
  4. Step 4: Simplify right side
    12,129.12x = 339,019,077.39
  5. Step 5: Solve for x
    x = 339,019,077.39/12,129.12
  6. Step 6: Final answer
    x = 27,950.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.