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Finding the Third Proportional to 31,189.50 and 49,889.25

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Solution

The third proportional to 31,189.50 and 49,889.25 is: 79,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.50 : 49,889.25 = 49,889.25 : x
  2. Step 2: Convert to fraction form
    31,189.50/49,889.25 = 49,889.25/x
  3. Step 3: Cross multiply
    31,189.50x = 49,889.25 × 49,889.25
  4. Step 4: Simplify right side
    31,189.50x = 2,488,937,265.56
  5. Step 5: Solve for x
    x = 2,488,937,265.56/31,189.50
  6. Step 6: Final answer
    x = 79,800.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.