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Finding the Third Proportional to 34,992 and 52,508.25

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Solution

The third proportional to 34,992 and 52,508.25 is: 78,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,992 : 52,508.25 = 52,508.25 : x
  2. Step 2: Convert to fraction form
    34,992/52,508.25 = 52,508.25/x
  3. Step 3: Cross multiply
    34,992x = 52,508.25 × 52,508.25
  4. Step 4: Simplify right side
    34,992x = 2,757,116,318.06
  5. Step 5: Solve for x
    x = 2,757,116,318.06/34,992
  6. Step 6: Final answer
    x = 78,792.76

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Why These Related Problems?

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