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Finding the Third Proportional to 26,976 and 42,224

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Solution

The third proportional to 26,976 and 42,224 is: 66,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976 : 42,224 = 42,224 : x
  2. Step 2: Convert to fraction form
    26,976/42,224 = 42,224/x
  3. Step 3: Cross multiply
    26,976x = 42,224 × 42,224
  4. Step 4: Simplify right side
    26,976x = 1,782,866,176
  5. Step 5: Solve for x
    x = 1,782,866,176/26,976
  6. Step 6: Final answer
    x = 66,090.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.