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Finding the Third Proportional to 48,683 and 71,109

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Solution

The third proportional to 48,683 and 71,109 is: 103,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,683 : 71,109 = 71,109 : x
  2. Step 2: Convert to fraction form
    48,683/71,109 = 71,109/x
  3. Step 3: Cross multiply
    48,683x = 71,109 × 71,109
  4. Step 4: Simplify right side
    48,683x = 5,056,489,881
  5. Step 5: Solve for x
    x = 5,056,489,881/48,683
  6. Step 6: Final answer
    x = 103,865.62

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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.