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Finding the Third Proportional to 8,087.63 and 17,147.25

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Solution

The third proportional to 8,087.63 and 17,147.25 is: 36,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.63 : 17,147.25 = 17,147.25 : x
  2. Step 2: Convert to fraction form
    8,087.63/17,147.25 = 17,147.25/x
  3. Step 3: Cross multiply
    8,087.63x = 17,147.25 × 17,147.25
  4. Step 4: Simplify right side
    8,087.63x = 294,028,182.56
  5. Step 5: Solve for x
    x = 294,028,182.56/8,087.63
  6. Step 6: Final answer
    x = 36,355.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.