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Finding the Third Proportional to 23,662.13 and 52,246.69

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Solution

The third proportional to 23,662.13 and 52,246.69 is: 115,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.13 : 52,246.69 = 52,246.69 : x
  2. Step 2: Convert to fraction form
    23,662.13/52,246.69 = 52,246.69/x
  3. Step 3: Cross multiply
    23,662.13x = 52,246.69 × 52,246.69
  4. Step 4: Simplify right side
    23,662.13x = 2,729,716,354.72
  5. Step 5: Solve for x
    x = 2,729,716,354.72/23,662.13
  6. Step 6: Final answer
    x = 115,362.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.