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Finding the Third Proportional to 34,051 and 52,847

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Solution

The third proportional to 34,051 and 52,847 is: 82,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051 : 52,847 = 52,847 : x
  2. Step 2: Convert to fraction form
    34,051/52,847 = 52,847/x
  3. Step 3: Cross multiply
    34,051x = 52,847 × 52,847
  4. Step 4: Simplify right side
    34,051x = 2,792,805,409
  5. Step 5: Solve for x
    x = 2,792,805,409/34,051
  6. Step 6: Final answer
    x = 82,018.31

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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.