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Finding the Third Proportional to 34,126 and 52,647

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Solution

The third proportional to 34,126 and 52,647 is: 81,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,126 : 52,647 = 52,647 : x
  2. Step 2: Convert to fraction form
    34,126/52,647 = 52,647/x
  3. Step 3: Cross multiply
    34,126x = 52,647 × 52,647
  4. Step 4: Simplify right side
    34,126x = 2,771,706,609
  5. Step 5: Solve for x
    x = 2,771,706,609/34,126
  6. Step 6: Final answer
    x = 81,219.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.