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Finding the Third Proportional to 48,684 and 71,110

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Solution

The third proportional to 48,684 and 71,110 is: 103,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 71,110 = 71,110 : x
  2. Step 2: Convert to fraction form
    48,684/71,110 = 71,110/x
  3. Step 3: Cross multiply
    48,684x = 71,110 × 71,110
  4. Step 4: Simplify right side
    48,684x = 5,056,632,100
  5. Step 5: Solve for x
    x = 5,056,632,100/48,684
  6. Step 6: Final answer
    x = 103,866.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.