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Finding the Third Proportional to 44,072 and 62,824

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Solution

The third proportional to 44,072 and 62,824 is: 89,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,072 : 62,824 = 62,824 : x
  2. Step 2: Convert to fraction form
    44,072/62,824 = 62,824/x
  3. Step 3: Cross multiply
    44,072x = 62,824 × 62,824
  4. Step 4: Simplify right side
    44,072x = 3,946,854,976
  5. Step 5: Solve for x
    x = 3,946,854,976/44,072
  6. Step 6: Final answer
    x = 89,554.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.