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Finding the Third Proportional to 16,139.25 and 34,754.06

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Solution

The third proportional to 16,139.25 and 34,754.06 is: 74,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.25 : 34,754.06 = 34,754.06 : x
  2. Step 2: Convert to fraction form
    16,139.25/34,754.06 = 34,754.06/x
  3. Step 3: Cross multiply
    16,139.25x = 34,754.06 × 34,754.06
  4. Step 4: Simplify right side
    16,139.25x = 1,207,844,860.25
  5. Step 5: Solve for x
    x = 1,207,844,860.25/16,139.25
  6. Step 6: Final answer
    x = 74,838.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.