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Finding the Third Proportional to 4,186.13 and 5,852.81

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Solution

The third proportional to 4,186.13 and 5,852.81 is: 8,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.13 : 5,852.81 = 5,852.81 : x
  2. Step 2: Convert to fraction form
    4,186.13/5,852.81 = 5,852.81/x
  3. Step 3: Cross multiply
    4,186.13x = 5,852.81 × 5,852.81
  4. Step 4: Simplify right side
    4,186.13x = 34,255,414.16
  5. Step 5: Solve for x
    x = 34,255,414.16/4,186.13
  6. Step 6: Final answer
    x = 8,183.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.