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Finding the Third Proportional to 31,505.20 and 49,910.87

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Solution

The third proportional to 31,505.20 and 49,910.87 is: 79,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.20 : 49,910.87 = 49,910.87 : x
  2. Step 2: Convert to fraction form
    31,505.20/49,910.87 = 49,910.87/x
  3. Step 3: Cross multiply
    31,505.20x = 49,910.87 × 49,910.87
  4. Step 4: Simplify right side
    31,505.20x = 2,491,095,053.34
  5. Step 5: Solve for x
    x = 2,491,095,053.34/31,505.20
  6. Step 6: Final answer
    x = 79,069.32

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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.