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Finding the Third Proportional to 5,979.38 and 13,146.94

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Solution

The third proportional to 5,979.38 and 13,146.94 is: 28,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.38 : 13,146.94 = 13,146.94 : x
  2. Step 2: Convert to fraction form
    5,979.38/13,146.94 = 13,146.94/x
  3. Step 3: Cross multiply
    5,979.38x = 13,146.94 × 13,146.94
  4. Step 4: Simplify right side
    5,979.38x = 172,841,965.63
  5. Step 5: Solve for x
    x = 172,841,965.63/5,979.38
  6. Step 6: Final answer
    x = 28,906.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.