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Finding the Third Proportional to 16,731.38 and 26,906.06

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Solution

The third proportional to 16,731.38 and 26,906.06 is: 43,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,731.38 : 26,906.06 = 26,906.06 : x
  2. Step 2: Convert to fraction form
    16,731.38/26,906.06 = 26,906.06/x
  3. Step 3: Cross multiply
    16,731.38x = 26,906.06 × 26,906.06
  4. Step 4: Simplify right side
    16,731.38x = 723,936,199.25
  5. Step 5: Solve for x
    x = 723,936,199.25/16,731.38
  6. Step 6: Final answer
    x = 43,268.18

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.