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Finding the Third Proportional to 34,431 and 72,997

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Solution

The third proportional to 34,431 and 72,997 is: 154,760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,431 : 72,997 = 72,997 : x
  2. Step 2: Convert to fraction form
    34,431/72,997 = 72,997/x
  3. Step 3: Cross multiply
    34,431x = 72,997 × 72,997
  4. Step 4: Simplify right side
    34,431x = 5,328,562,009
  5. Step 5: Solve for x
    x = 5,328,562,009/34,431
  6. Step 6: Final answer
    x = 154,760.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.