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Finding the Third Proportional to 7,855.10 and 17,095.43

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Solution

The third proportional to 7,855.10 and 17,095.43 is: 37,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.10 : 17,095.43 = 17,095.43 : x
  2. Step 2: Convert to fraction form
    7,855.10/17,095.43 = 17,095.43/x
  3. Step 3: Cross multiply
    7,855.10x = 17,095.43 × 17,095.43
  4. Step 4: Simplify right side
    7,855.10x = 292,253,716.20
  5. Step 5: Solve for x
    x = 292,253,716.20/7,855.10
  6. Step 6: Final answer
    x = 37,205.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.