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Finding the Third Proportional to 26,378 and 57,652

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Solution

The third proportional to 26,378 and 57,652 is: 126,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378 : 57,652 = 57,652 : x
  2. Step 2: Convert to fraction form
    26,378/57,652 = 57,652/x
  3. Step 3: Cross multiply
    26,378x = 57,652 × 57,652
  4. Step 4: Simplify right side
    26,378x = 3,323,753,104
  5. Step 5: Solve for x
    x = 3,323,753,104/26,378
  6. Step 6: Final answer
    x = 126,004.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.