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Finding the Third Proportional to 22,696 and 52,739

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Solution

The third proportional to 22,696 and 52,739 is: 122,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696 : 52,739 = 52,739 : x
  2. Step 2: Convert to fraction form
    22,696/52,739 = 52,739/x
  3. Step 3: Cross multiply
    22,696x = 52,739 × 52,739
  4. Step 4: Simplify right side
    22,696x = 2,781,402,121
  5. Step 5: Solve for x
    x = 2,781,402,121/22,696
  6. Step 6: Final answer
    x = 122,550.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.