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Finding the Third Proportional to 4,186.69 and 7,110.28

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Solution

The third proportional to 4,186.69 and 7,110.28 is: 12,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.69 : 7,110.28 = 7,110.28 : x
  2. Step 2: Convert to fraction form
    4,186.69/7,110.28 = 7,110.28/x
  3. Step 3: Cross multiply
    4,186.69x = 7,110.28 × 7,110.28
  4. Step 4: Simplify right side
    4,186.69x = 50,556,099.45
  5. Step 5: Solve for x
    x = 50,556,099.45/4,186.69
  6. Step 6: Final answer
    x = 12,075.44

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.