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Finding the Third Proportional to 20,847 and 44,427.75

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Solution

The third proportional to 20,847 and 44,427.75 is: 94,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847 : 44,427.75 = 44,427.75 : x
  2. Step 2: Convert to fraction form
    20,847/44,427.75 = 44,427.75/x
  3. Step 3: Cross multiply
    20,847x = 44,427.75 × 44,427.75
  4. Step 4: Simplify right side
    20,847x = 1,973,824,970.06
  5. Step 5: Solve for x
    x = 1,973,824,970.06/20,847
  6. Step 6: Final answer
    x = 94,681.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.