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Finding the Third Proportional to 23,032.69 and 50,234.34

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Solution

The third proportional to 23,032.69 and 50,234.34 is: 109,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032.69 : 50,234.34 = 50,234.34 : x
  2. Step 2: Convert to fraction form
    23,032.69/50,234.34 = 50,234.34/x
  3. Step 3: Cross multiply
    23,032.69x = 50,234.34 × 50,234.34
  4. Step 4: Simplify right side
    23,032.69x = 2,523,489,291.99
  5. Step 5: Solve for x
    x = 2,523,489,291.99/23,032.69
  6. Step 6: Final answer
    x = 109,561.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.