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Finding the Third Proportional to 2,186.81 and 3,377.16

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Solution

The third proportional to 2,186.81 and 3,377.16 is: 5,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.81 : 3,377.16 = 3,377.16 : x
  2. Step 2: Convert to fraction form
    2,186.81/3,377.16 = 3,377.16/x
  3. Step 3: Cross multiply
    2,186.81x = 3,377.16 × 3,377.16
  4. Step 4: Simplify right side
    2,186.81x = 11,405,184.34
  5. Step 5: Solve for x
    x = 11,405,184.34/2,186.81
  6. Step 6: Final answer
    x = 5,215.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.