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Finding the Third Proportional to 52,648 and 68,308

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Solution

The third proportional to 52,648 and 68,308 is: 88,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648 : 68,308 = 68,308 : x
  2. Step 2: Convert to fraction form
    52,648/68,308 = 68,308/x
  3. Step 3: Cross multiply
    52,648x = 68,308 × 68,308
  4. Step 4: Simplify right side
    52,648x = 4,665,982,864
  5. Step 5: Solve for x
    x = 4,665,982,864/52,648
  6. Step 6: Final answer
    x = 88,626.02

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Why These Related Problems?

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