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Finding the Third Proportional to 26,269 and 58,369.75

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Solution

The third proportional to 26,269 and 58,369.75 is: 129,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,269 : 58,369.75 = 58,369.75 : x
  2. Step 2: Convert to fraction form
    26,269/58,369.75 = 58,369.75/x
  3. Step 3: Cross multiply
    26,269x = 58,369.75 × 58,369.75
  4. Step 4: Simplify right side
    26,269x = 3,407,027,715.06
  5. Step 5: Solve for x
    x = 3,407,027,715.06/26,269
  6. Step 6: Final answer
    x = 129,697.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.