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Finding the Third Proportional to 1,004.06 and 2,162.11

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Solution

The third proportional to 1,004.06 and 2,162.11 is: 4,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.06 : 2,162.11 = 2,162.11 : x
  2. Step 2: Convert to fraction form
    1,004.06/2,162.11 = 2,162.11/x
  3. Step 3: Cross multiply
    1,004.06x = 2,162.11 × 2,162.11
  4. Step 4: Simplify right side
    1,004.06x = 4,674,716.95
  5. Step 5: Solve for x
    x = 4,674,716.95/1,004.06
  6. Step 6: Final answer
    x = 4,655.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.