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Finding the Third Proportional to 47,696 and 62,736

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Solution

The third proportional to 47,696 and 62,736 is: 82,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696 : 62,736 = 62,736 : x
  2. Step 2: Convert to fraction form
    47,696/62,736 = 62,736/x
  3. Step 3: Cross multiply
    47,696x = 62,736 × 62,736
  4. Step 4: Simplify right side
    47,696x = 3,935,805,696
  5. Step 5: Solve for x
    x = 3,935,805,696/47,696
  6. Step 6: Final answer
    x = 82,518.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.