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Finding the Third Proportional to 34,334 and 48,980

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Solution

The third proportional to 34,334 and 48,980 is: 69,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334 : 48,980 = 48,980 : x
  2. Step 2: Convert to fraction form
    34,334/48,980 = 48,980/x
  3. Step 3: Cross multiply
    34,334x = 48,980 × 48,980
  4. Step 4: Simplify right side
    34,334x = 2,399,040,400
  5. Step 5: Solve for x
    x = 2,399,040,400/34,334
  6. Step 6: Final answer
    x = 69,873.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.