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Finding the Third Proportional to 31,674 and 50,150.25

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Solution

The third proportional to 31,674 and 50,150.25 is: 79,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674 : 50,150.25 = 50,150.25 : x
  2. Step 2: Convert to fraction form
    31,674/50,150.25 = 50,150.25/x
  3. Step 3: Cross multiply
    31,674x = 50,150.25 × 50,150.25
  4. Step 4: Simplify right side
    31,674x = 2,515,047,575.06
  5. Step 5: Solve for x
    x = 2,515,047,575.06/31,674
  6. Step 6: Final answer
    x = 79,404.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.