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Finding the Third Proportional to 26,224 and 41,546

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Solution

The third proportional to 26,224 and 41,546 is: 65,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224 : 41,546 = 41,546 : x
  2. Step 2: Convert to fraction form
    26,224/41,546 = 41,546/x
  3. Step 3: Cross multiply
    26,224x = 41,546 × 41,546
  4. Step 4: Simplify right side
    26,224x = 1,726,070,116
  5. Step 5: Solve for x
    x = 1,726,070,116/26,224
  6. Step 6: Final answer
    x = 65,820.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.