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Finding the Third Proportional to 26,424 and 57,168

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Solution

The third proportional to 26,424 and 57,168 is: 123,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,424 : 57,168 = 57,168 : x
  2. Step 2: Convert to fraction form
    26,424/57,168 = 57,168/x
  3. Step 3: Cross multiply
    26,424x = 57,168 × 57,168
  4. Step 4: Simplify right side
    26,424x = 3,268,180,224
  5. Step 5: Solve for x
    x = 3,268,180,224/26,424
  6. Step 6: Final answer
    x = 123,682.27

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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.