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Finding the Third Proportional to 31,210.31 and 49,640.34

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Solution

The third proportional to 31,210.31 and 49,640.34 is: 78,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.31 : 49,640.34 = 49,640.34 : x
  2. Step 2: Convert to fraction form
    31,210.31/49,640.34 = 49,640.34/x
  3. Step 3: Cross multiply
    31,210.31x = 49,640.34 × 49,640.34
  4. Step 4: Simplify right side
    31,210.31x = 2,464,163,727.62
  5. Step 5: Solve for x
    x = 2,464,163,727.62/31,210.31
  6. Step 6: Final answer
    x = 78,953.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.