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Finding the Third Proportional to 21,988 and 33,010

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Solution

The third proportional to 21,988 and 33,010 is: 49,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988 : 33,010 = 33,010 : x
  2. Step 2: Convert to fraction form
    21,988/33,010 = 33,010/x
  3. Step 3: Cross multiply
    21,988x = 33,010 × 33,010
  4. Step 4: Simplify right side
    21,988x = 1,089,660,100
  5. Step 5: Solve for x
    x = 1,089,660,100/21,988
  6. Step 6: Final answer
    x = 49,557.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.