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Finding the Third Proportional to 26,272 and 56,696

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Solution

The third proportional to 26,272 and 56,696 is: 122,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272 : 56,696 = 56,696 : x
  2. Step 2: Convert to fraction form
    26,272/56,696 = 56,696/x
  3. Step 3: Cross multiply
    26,272x = 56,696 × 56,696
  4. Step 4: Simplify right side
    26,272x = 3,214,436,416
  5. Step 5: Solve for x
    x = 3,214,436,416/26,272
  6. Step 6: Final answer
    x = 122,352.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.