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Finding the Third Proportional to 866.16 and 1,764.12

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Solution

The third proportional to 866.16 and 1,764.12 is: 3,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,764.12 = 1,764.12 : x
  2. Step 2: Convert to fraction form
    866.16/1,764.12 = 1,764.12/x
  3. Step 3: Cross multiply
    866.16x = 1,764.12 × 1,764.12
  4. Step 4: Simplify right side
    866.16x = 3,112,130.12
  5. Step 5: Solve for x
    x = 3,112,130.12/866.16
  6. Step 6: Final answer
    x = 3,593.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.