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Finding the Third Proportional to 4,597.78 and 10,236.56

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Solution

The third proportional to 4,597.78 and 10,236.56 is: 22,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.78 : 10,236.56 = 10,236.56 : x
  2. Step 2: Convert to fraction form
    4,597.78/10,236.56 = 10,236.56/x
  3. Step 3: Cross multiply
    4,597.78x = 10,236.56 × 10,236.56
  4. Step 4: Simplify right side
    4,597.78x = 104,787,211.82
  5. Step 5: Solve for x
    x = 104,787,211.82/4,597.78
  6. Step 6: Final answer
    x = 22,790.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.