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Finding the Third Proportional to 2,278.13 and 5,162.06

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Solution

The third proportional to 2,278.13 and 5,162.06 is: 11,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.13 : 5,162.06 = 5,162.06 : x
  2. Step 2: Convert to fraction form
    2,278.13/5,162.06 = 5,162.06/x
  3. Step 3: Cross multiply
    2,278.13x = 5,162.06 × 5,162.06
  4. Step 4: Simplify right side
    2,278.13x = 26,646,889.25
  5. Step 5: Solve for x
    x = 26,646,889.25/2,278.13
  6. Step 6: Final answer
    x = 11,696.85

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.