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Finding the Third Proportional to 34,767 and 52,317

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Solution

The third proportional to 34,767 and 52,317 is: 78,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767 : 52,317 = 52,317 : x
  2. Step 2: Convert to fraction form
    34,767/52,317 = 52,317/x
  3. Step 3: Cross multiply
    34,767x = 52,317 × 52,317
  4. Step 4: Simplify right side
    34,767x = 2,737,068,489
  5. Step 5: Solve for x
    x = 2,737,068,489/34,767
  6. Step 6: Final answer
    x = 78,726.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.