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Finding the Third Proportional to 7,066.13 and 11,186.44

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Solution

The third proportional to 7,066.13 and 11,186.44 is: 17,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.13 : 11,186.44 = 11,186.44 : x
  2. Step 2: Convert to fraction form
    7,066.13/11,186.44 = 11,186.44/x
  3. Step 3: Cross multiply
    7,066.13x = 11,186.44 × 11,186.44
  4. Step 4: Simplify right side
    7,066.13x = 125,136,383.94
  5. Step 5: Solve for x
    x = 125,136,383.94/7,066.13
  6. Step 6: Final answer
    x = 17,709.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.