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Finding the Third Proportional to 2,338.38 and 5,116.63

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Solution

The third proportional to 2,338.38 and 5,116.63 is: 11,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.38 : 5,116.63 = 5,116.63 : x
  2. Step 2: Convert to fraction form
    2,338.38/5,116.63 = 5,116.63/x
  3. Step 3: Cross multiply
    2,338.38x = 5,116.63 × 5,116.63
  4. Step 4: Simplify right side
    2,338.38x = 26,179,851.39
  5. Step 5: Solve for x
    x = 26,179,851.39/2,338.38
  6. Step 6: Final answer
    x = 11,195.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.