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Finding the Third Proportional to 16,629.75 and 24,458.38

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Solution

The third proportional to 16,629.75 and 24,458.38 is: 35,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,629.75 : 24,458.38 = 24,458.38 : x
  2. Step 2: Convert to fraction form
    16,629.75/24,458.38 = 24,458.38/x
  3. Step 3: Cross multiply
    16,629.75x = 24,458.38 × 24,458.38
  4. Step 4: Simplify right side
    16,629.75x = 598,212,107.64
  5. Step 5: Solve for x
    x = 598,212,107.64/16,629.75
  6. Step 6: Final answer
    x = 35,972.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.