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Finding the Third Proportional to 34,344 and 51,997

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Solution

The third proportional to 34,344 and 51,997 is: 78,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,344 : 51,997 = 51,997 : x
  2. Step 2: Convert to fraction form
    34,344/51,997 = 51,997/x
  3. Step 3: Cross multiply
    34,344x = 51,997 × 51,997
  4. Step 4: Simplify right side
    34,344x = 2,703,688,009
  5. Step 5: Solve for x
    x = 2,703,688,009/34,344
  6. Step 6: Final answer
    x = 78,723.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.