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Finding the Third Proportional to 12,026.25 and 18,892.13

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Solution

The third proportional to 12,026.25 and 18,892.13 is: 29,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.25 : 18,892.13 = 18,892.13 : x
  2. Step 2: Convert to fraction form
    12,026.25/18,892.13 = 18,892.13/x
  3. Step 3: Cross multiply
    12,026.25x = 18,892.13 × 18,892.13
  4. Step 4: Simplify right side
    12,026.25x = 356,912,387.02
  5. Step 5: Solve for x
    x = 356,912,387.02/12,026.25
  6. Step 6: Final answer
    x = 29,677.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.