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Finding the Third Proportional to 8,106.19 and 17,463.09

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Solution

The third proportional to 8,106.19 and 17,463.09 is: 37,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.19 : 17,463.09 = 17,463.09 : x
  2. Step 2: Convert to fraction form
    8,106.19/17,463.09 = 17,463.09/x
  3. Step 3: Cross multiply
    8,106.19x = 17,463.09 × 17,463.09
  4. Step 4: Simplify right side
    8,106.19x = 304,959,643.32
  5. Step 5: Solve for x
    x = 304,959,643.32/8,106.19
  6. Step 6: Final answer
    x = 37,620.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.