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Finding the Third Proportional to 31,698.84 and 49,363.17

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Solution

The third proportional to 31,698.84 and 49,363.17 is: 76,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.84 : 49,363.17 = 49,363.17 : x
  2. Step 2: Convert to fraction form
    31,698.84/49,363.17 = 49,363.17/x
  3. Step 3: Cross multiply
    31,698.84x = 49,363.17 × 49,363.17
  4. Step 4: Simplify right side
    31,698.84x = 2,436,722,737.56
  5. Step 5: Solve for x
    x = 2,436,722,737.56/31,698.84
  6. Step 6: Final answer
    x = 76,871.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.