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Finding the Third Proportional to 8,191.55 and 17,455.92

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Solution

The third proportional to 8,191.55 and 17,455.92 is: 37,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.55 : 17,455.92 = 17,455.92 : x
  2. Step 2: Convert to fraction form
    8,191.55/17,455.92 = 17,455.92/x
  3. Step 3: Cross multiply
    8,191.55x = 17,455.92 × 17,455.92
  4. Step 4: Simplify right side
    8,191.55x = 304,709,208.51
  5. Step 5: Solve for x
    x = 304,709,208.51/8,191.55
  6. Step 6: Final answer
    x = 37,198.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.