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Finding the Third Proportional to 34,029 and 54,631

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Solution

The third proportional to 34,029 and 54,631 is: 87,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029 : 54,631 = 54,631 : x
  2. Step 2: Convert to fraction form
    34,029/54,631 = 54,631/x
  3. Step 3: Cross multiply
    34,029x = 54,631 × 54,631
  4. Step 4: Simplify right side
    34,029x = 2,984,546,161
  5. Step 5: Solve for x
    x = 2,984,546,161/34,029
  6. Step 6: Final answer
    x = 87,705.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.