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Finding the Third Proportional to 21,201.75 and 36,105.75

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Solution

The third proportional to 21,201.75 and 36,105.75 is: 61,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.75 : 36,105.75 = 36,105.75 : x
  2. Step 2: Convert to fraction form
    21,201.75/36,105.75 = 36,105.75/x
  3. Step 3: Cross multiply
    21,201.75x = 36,105.75 × 36,105.75
  4. Step 4: Simplify right side
    21,201.75x = 1,303,625,183.06
  5. Step 5: Solve for x
    x = 1,303,625,183.06/21,201.75
  6. Step 6: Final answer
    x = 61,486.68

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.