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Finding the Third Proportional to 20,989 and 33,235

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Solution

The third proportional to 20,989 and 33,235 is: 52,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989 : 33,235 = 33,235 : x
  2. Step 2: Convert to fraction form
    20,989/33,235 = 33,235/x
  3. Step 3: Cross multiply
    20,989x = 33,235 × 33,235
  4. Step 4: Simplify right side
    20,989x = 1,104,565,225
  5. Step 5: Solve for x
    x = 1,104,565,225/20,989
  6. Step 6: Final answer
    x = 52,625.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.