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Finding the Third Proportional to 49,614 and 70,731

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Solution

The third proportional to 49,614 and 70,731 is: 100,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,614 : 70,731 = 70,731 : x
  2. Step 2: Convert to fraction form
    49,614/70,731 = 70,731/x
  3. Step 3: Cross multiply
    49,614x = 70,731 × 70,731
  4. Step 4: Simplify right side
    49,614x = 5,002,874,361
  5. Step 5: Solve for x
    x = 5,002,874,361/49,614
  6. Step 6: Final answer
    x = 100,835.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.