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Finding the Third Proportional to 4,114.13 and 8,094.09

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Solution

The third proportional to 4,114.13 and 8,094.09 is: 15,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 8,094.09 = 8,094.09 : x
  2. Step 2: Convert to fraction form
    4,114.13/8,094.09 = 8,094.09/x
  3. Step 3: Cross multiply
    4,114.13x = 8,094.09 × 8,094.09
  4. Step 4: Simplify right side
    4,114.13x = 65,514,353.63
  5. Step 5: Solve for x
    x = 65,514,353.63/4,114.13
  6. Step 6: Final answer
    x = 15,924.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.