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Finding the Third Proportional to 26,857 and 57,984.50

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Solution

The third proportional to 26,857 and 57,984.50 is: 125,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857 : 57,984.50 = 57,984.50 : x
  2. Step 2: Convert to fraction form
    26,857/57,984.50 = 57,984.50/x
  3. Step 3: Cross multiply
    26,857x = 57,984.50 × 57,984.50
  4. Step 4: Simplify right side
    26,857x = 3,362,202,240.25
  5. Step 5: Solve for x
    x = 3,362,202,240.25/26,857
  6. Step 6: Final answer
    x = 125,189.05

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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.