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Finding the Third Proportional to 25,309.97 and 36,991.69

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Solution

The third proportional to 25,309.97 and 36,991.69 is: 54,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.97 : 36,991.69 = 36,991.69 : x
  2. Step 2: Convert to fraction form
    25,309.97/36,991.69 = 36,991.69/x
  3. Step 3: Cross multiply
    25,309.97x = 36,991.69 × 36,991.69
  4. Step 4: Simplify right side
    25,309.97x = 1,368,384,944.10
  5. Step 5: Solve for x
    x = 1,368,384,944.10/25,309.97
  6. Step 6: Final answer
    x = 54,065.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.