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Finding the Third Proportional to 8,189.44 and 17,546.63

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Solution

The third proportional to 8,189.44 and 17,546.63 is: 37,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.44 : 17,546.63 = 17,546.63 : x
  2. Step 2: Convert to fraction form
    8,189.44/17,546.63 = 17,546.63/x
  3. Step 3: Cross multiply
    8,189.44x = 17,546.63 × 17,546.63
  4. Step 4: Simplify right side
    8,189.44x = 307,884,048.89
  5. Step 5: Solve for x
    x = 307,884,048.89/8,189.44
  6. Step 6: Final answer
    x = 37,595.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.