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Finding the Third Proportional to 48,107 and 71,647

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Solution

The third proportional to 48,107 and 71,647 is: 106,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107 : 71,647 = 71,647 : x
  2. Step 2: Convert to fraction form
    48,107/71,647 = 71,647/x
  3. Step 3: Cross multiply
    48,107x = 71,647 × 71,647
  4. Step 4: Simplify right side
    48,107x = 5,133,292,609
  5. Step 5: Solve for x
    x = 5,133,292,609/48,107
  6. Step 6: Final answer
    x = 106,705.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.