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Finding the Third Proportional to 26,901 and 58,715

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Solution

The third proportional to 26,901 and 58,715 is: 128,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,901 : 58,715 = 58,715 : x
  2. Step 2: Convert to fraction form
    26,901/58,715 = 58,715/x
  3. Step 3: Cross multiply
    26,901x = 58,715 × 58,715
  4. Step 4: Simplify right side
    26,901x = 3,447,451,225
  5. Step 5: Solve for x
    x = 3,447,451,225/26,901
  6. Step 6: Final answer
    x = 128,153.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.