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Finding the Third Proportional to 52,638 and 68,295

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Solution

The third proportional to 52,638 and 68,295 is: 88,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638 : 68,295 = 68,295 : x
  2. Step 2: Convert to fraction form
    52,638/68,295 = 68,295/x
  3. Step 3: Cross multiply
    52,638x = 68,295 × 68,295
  4. Step 4: Simplify right side
    52,638x = 4,664,207,025
  5. Step 5: Solve for x
    x = 4,664,207,025/52,638
  6. Step 6: Final answer
    x = 88,609.12

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.