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Finding the Third Proportional to 34,771 and 52,319

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Solution

The third proportional to 34,771 and 52,319 is: 78,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771 : 52,319 = 52,319 : x
  2. Step 2: Convert to fraction form
    34,771/52,319 = 52,319/x
  3. Step 3: Cross multiply
    34,771x = 52,319 × 52,319
  4. Step 4: Simplify right side
    34,771x = 2,737,277,761
  5. Step 5: Solve for x
    x = 2,737,277,761/34,771
  6. Step 6: Final answer
    x = 78,723.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.