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Finding the Third Proportional to 8,272.63 and 17,841.25

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Solution

The third proportional to 8,272.63 and 17,841.25 is: 38,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.63 : 17,841.25 = 17,841.25 : x
  2. Step 2: Convert to fraction form
    8,272.63/17,841.25 = 17,841.25/x
  3. Step 3: Cross multiply
    8,272.63x = 17,841.25 × 17,841.25
  4. Step 4: Simplify right side
    8,272.63x = 318,310,201.56
  5. Step 5: Solve for x
    x = 318,310,201.56/8,272.63
  6. Step 6: Final answer
    x = 38,477.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.