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Finding the Third Proportional to 26,224 and 56,824

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Solution

The third proportional to 26,224 and 56,824 is: 123,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224 : 56,824 = 56,824 : x
  2. Step 2: Convert to fraction form
    26,224/56,824 = 56,824/x
  3. Step 3: Cross multiply
    26,224x = 56,824 × 56,824
  4. Step 4: Simplify right side
    26,224x = 3,228,966,976
  5. Step 5: Solve for x
    x = 3,228,966,976/26,224
  6. Step 6: Final answer
    x = 123,130.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.