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Finding the Third Proportional to 49,611 and 70,726

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Solution

The third proportional to 49,611 and 70,726 is: 100,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,611 : 70,726 = 70,726 : x
  2. Step 2: Convert to fraction form
    49,611/70,726 = 70,726/x
  3. Step 3: Cross multiply
    49,611x = 70,726 × 70,726
  4. Step 4: Simplify right side
    49,611x = 5,002,167,076
  5. Step 5: Solve for x
    x = 5,002,167,076/49,611
  6. Step 6: Final answer
    x = 100,827.78

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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.