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Finding the Third Proportional to 26,781 and 57,442.50

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Solution

The third proportional to 26,781 and 57,442.50 is: 123,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,781 : 57,442.50 = 57,442.50 : x
  2. Step 2: Convert to fraction form
    26,781/57,442.50 = 57,442.50/x
  3. Step 3: Cross multiply
    26,781x = 57,442.50 × 57,442.50
  4. Step 4: Simplify right side
    26,781x = 3,299,640,806.25
  5. Step 5: Solve for x
    x = 3,299,640,806.25/26,781
  6. Step 6: Final answer
    x = 123,208.27

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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.