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Finding the Third Proportional to 21,912 and 35,600.25

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Solution

The third proportional to 21,912 and 35,600.25 is: 57,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912 : 35,600.25 = 35,600.25 : x
  2. Step 2: Convert to fraction form
    21,912/35,600.25 = 35,600.25/x
  3. Step 3: Cross multiply
    21,912x = 35,600.25 × 35,600.25
  4. Step 4: Simplify right side
    21,912x = 1,267,377,800.06
  5. Step 5: Solve for x
    x = 1,267,377,800.06/21,912
  6. Step 6: Final answer
    x = 57,839.44

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.