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Finding the Third Proportional to 26,155 and 57,589

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Solution

The third proportional to 26,155 and 57,589 is: 126,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,155 : 57,589 = 57,589 : x
  2. Step 2: Convert to fraction form
    26,155/57,589 = 57,589/x
  3. Step 3: Cross multiply
    26,155x = 57,589 × 57,589
  4. Step 4: Simplify right side
    26,155x = 3,316,492,921
  5. Step 5: Solve for x
    x = 3,316,492,921/26,155
  6. Step 6: Final answer
    x = 126,801.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.