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Finding the Third Proportional to 16,201.75 and 21,773.75

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Solution

The third proportional to 16,201.75 and 21,773.75 is: 29,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.75 : 21,773.75 = 21,773.75 : x
  2. Step 2: Convert to fraction form
    16,201.75/21,773.75 = 21,773.75/x
  3. Step 3: Cross multiply
    16,201.75x = 21,773.75 × 21,773.75
  4. Step 4: Simplify right side
    16,201.75x = 474,096,189.06
  5. Step 5: Solve for x
    x = 474,096,189.06/16,201.75
  6. Step 6: Final answer
    x = 29,262.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.