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Finding the Third Proportional to 22,965.75 and 50,032.13

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Solution

The third proportional to 22,965.75 and 50,032.13 is: 108,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.75 : 50,032.13 = 50,032.13 : x
  2. Step 2: Convert to fraction form
    22,965.75/50,032.13 = 50,032.13/x
  3. Step 3: Cross multiply
    22,965.75x = 50,032.13 × 50,032.13
  4. Step 4: Simplify right side
    22,965.75x = 2,503,213,532.02
  5. Step 5: Solve for x
    x = 2,503,213,532.02/22,965.75
  6. Step 6: Final answer
    x = 108,997.68

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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.