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Finding the Third Proportional to 26,749.50 and 57,202.50

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Solution

The third proportional to 26,749.50 and 57,202.50 is: 122,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749.50 : 57,202.50 = 57,202.50 : x
  2. Step 2: Convert to fraction form
    26,749.50/57,202.50 = 57,202.50/x
  3. Step 3: Cross multiply
    26,749.50x = 57,202.50 × 57,202.50
  4. Step 4: Simplify right side
    26,749.50x = 3,272,126,006.25
  5. Step 5: Solve for x
    x = 3,272,126,006.25/26,749.50
  6. Step 6: Final answer
    x = 122,324.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.