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Finding the Third Proportional to 34,100 and 52,883

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Solution

The third proportional to 34,100 and 52,883 is: 82,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100 : 52,883 = 52,883 : x
  2. Step 2: Convert to fraction form
    34,100/52,883 = 52,883/x
  3. Step 3: Cross multiply
    34,100x = 52,883 × 52,883
  4. Step 4: Simplify right side
    34,100x = 2,796,611,689
  5. Step 5: Solve for x
    x = 2,796,611,689/34,100
  6. Step 6: Final answer
    x = 82,012.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.