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Finding the Third Proportional to 7,843.08 and 17,115.05

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Solution

The third proportional to 7,843.08 and 17,115.05 is: 37,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.08 : 17,115.05 = 17,115.05 : x
  2. Step 2: Convert to fraction form
    7,843.08/17,115.05 = 17,115.05/x
  3. Step 3: Cross multiply
    7,843.08x = 17,115.05 × 17,115.05
  4. Step 4: Simplify right side
    7,843.08x = 292,924,829.53
  5. Step 5: Solve for x
    x = 292,924,829.53/7,843.08
  6. Step 6: Final answer
    x = 37,348.20

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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.