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Finding the Third Proportional to 31,046.20 and 49,181.77

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Solution

The third proportional to 31,046.20 and 49,181.77 is: 77,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.20 : 49,181.77 = 49,181.77 : x
  2. Step 2: Convert to fraction form
    31,046.20/49,181.77 = 49,181.77/x
  3. Step 3: Cross multiply
    31,046.20x = 49,181.77 × 49,181.77
  4. Step 4: Simplify right side
    31,046.20x = 2,418,846,069.99
  5. Step 5: Solve for x
    x = 2,418,846,069.99/31,046.20
  6. Step 6: Final answer
    x = 77,911.17

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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.