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Finding the Third Proportional to 23,604.47 and 52,453.69

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Solution

The third proportional to 23,604.47 and 52,453.69 is: 116,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.47 : 52,453.69 = 52,453.69 : x
  2. Step 2: Convert to fraction form
    23,604.47/52,453.69 = 52,453.69/x
  3. Step 3: Cross multiply
    23,604.47x = 52,453.69 × 52,453.69
  4. Step 4: Simplify right side
    23,604.47x = 2,751,389,332.35
  5. Step 5: Solve for x
    x = 2,751,389,332.35/23,604.47
  6. Step 6: Final answer
    x = 116,562.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.