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Finding the Third Proportional to 16,772 and 34,942

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Solution

The third proportional to 16,772 and 34,942 is: 72,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772 : 34,942 = 34,942 : x
  2. Step 2: Convert to fraction form
    16,772/34,942 = 34,942/x
  3. Step 3: Cross multiply
    16,772x = 34,942 × 34,942
  4. Step 4: Simplify right side
    16,772x = 1,220,943,364
  5. Step 5: Solve for x
    x = 1,220,943,364/16,772
  6. Step 6: Final answer
    x = 72,796.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.