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Finding the Third Proportional to 26,832 and 57,984

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Solution

The third proportional to 26,832 and 57,984 is: 125,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,832 : 57,984 = 57,984 : x
  2. Step 2: Convert to fraction form
    26,832/57,984 = 57,984/x
  3. Step 3: Cross multiply
    26,832x = 57,984 × 57,984
  4. Step 4: Simplify right side
    26,832x = 3,362,144,256
  5. Step 5: Solve for x
    x = 3,362,144,256/26,832
  6. Step 6: Final answer
    x = 125,303.53

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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.