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Finding the Third Proportional to 21,334 and 33,390

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Solution

The third proportional to 21,334 and 33,390 is: 52,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334 : 33,390 = 33,390 : x
  2. Step 2: Convert to fraction form
    21,334/33,390 = 33,390/x
  3. Step 3: Cross multiply
    21,334x = 33,390 × 33,390
  4. Step 4: Simplify right side
    21,334x = 1,114,892,100
  5. Step 5: Solve for x
    x = 1,114,892,100/21,334
  6. Step 6: Final answer
    x = 52,258.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.