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Finding the Third Proportional to 2,367.56 and 5,144.63

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Solution

The third proportional to 2,367.56 and 5,144.63 is: 11,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.56 : 5,144.63 = 5,144.63 : x
  2. Step 2: Convert to fraction form
    2,367.56/5,144.63 = 5,144.63/x
  3. Step 3: Cross multiply
    2,367.56x = 5,144.63 × 5,144.63
  4. Step 4: Simplify right side
    2,367.56x = 26,467,166.39
  5. Step 5: Solve for x
    x = 26,467,166.39/2,367.56
  6. Step 6: Final answer
    x = 11,179.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.