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Finding the Third Proportional to 34,564 and 52,163

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Solution

The third proportional to 34,564 and 52,163 is: 78,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564 : 52,163 = 52,163 : x
  2. Step 2: Convert to fraction form
    34,564/52,163 = 52,163/x
  3. Step 3: Cross multiply
    34,564x = 52,163 × 52,163
  4. Step 4: Simplify right side
    34,564x = 2,720,978,569
  5. Step 5: Solve for x
    x = 2,720,978,569/34,564
  6. Step 6: Final answer
    x = 78,722.91

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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.