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Finding the Third Proportional to 15,801.75 and 36,605.25

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Solution

The third proportional to 15,801.75 and 36,605.25 is: 84,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.75 : 36,605.25 = 36,605.25 : x
  2. Step 2: Convert to fraction form
    15,801.75/36,605.25 = 36,605.25/x
  3. Step 3: Cross multiply
    15,801.75x = 36,605.25 × 36,605.25
  4. Step 4: Simplify right side
    15,801.75x = 1,339,944,327.56
  5. Step 5: Solve for x
    x = 1,339,944,327.56/15,801.75
  6. Step 6: Final answer
    x = 84,797.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.