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Finding the Third Proportional to 21,918 and 33,900

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Solution

The third proportional to 21,918 and 33,900 is: 52,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 33,900 = 33,900 : x
  2. Step 2: Convert to fraction form
    21,918/33,900 = 33,900/x
  3. Step 3: Cross multiply
    21,918x = 33,900 × 33,900
  4. Step 4: Simplify right side
    21,918x = 1,149,210,000
  5. Step 5: Solve for x
    x = 1,149,210,000/21,918
  6. Step 6: Final answer
    x = 52,432.25

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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.