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Finding the Third Proportional to 31,789.13 and 49,145.06

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Solution

The third proportional to 31,789.13 and 49,145.06 is: 75,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,789.13 : 49,145.06 = 49,145.06 : x
  2. Step 2: Convert to fraction form
    31,789.13/49,145.06 = 49,145.06/x
  3. Step 3: Cross multiply
    31,789.13x = 49,145.06 × 49,145.06
  4. Step 4: Simplify right side
    31,789.13x = 2,415,237,168.13
  5. Step 5: Solve for x
    x = 2,415,237,168.13/31,789.13
  6. Step 6: Final answer
    x = 75,976.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.