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Finding the Third Proportional to 19,665 and 28,563.75

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Solution

The third proportional to 19,665 and 28,563.75 is: 41,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665 : 28,563.75 = 28,563.75 : x
  2. Step 2: Convert to fraction form
    19,665/28,563.75 = 28,563.75/x
  3. Step 3: Cross multiply
    19,665x = 28,563.75 × 28,563.75
  4. Step 4: Simplify right side
    19,665x = 815,887,814.06
  5. Step 5: Solve for x
    x = 815,887,814.06/19,665
  6. Step 6: Final answer
    x = 41,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.