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Finding the Third Proportional to 21,906 and 33,982.50

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Solution

The third proportional to 21,906 and 33,982.50 is: 52,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906 : 33,982.50 = 33,982.50 : x
  2. Step 2: Convert to fraction form
    21,906/33,982.50 = 33,982.50/x
  3. Step 3: Cross multiply
    21,906x = 33,982.50 × 33,982.50
  4. Step 4: Simplify right side
    21,906x = 1,154,810,306.25
  5. Step 5: Solve for x
    x = 1,154,810,306.25/21,906
  6. Step 6: Final answer
    x = 52,716.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.