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Finding the Third Proportional to 20,821 and 44,965.50

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Solution

The third proportional to 20,821 and 44,965.50 is: 97,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821 : 44,965.50 = 44,965.50 : x
  2. Step 2: Convert to fraction form
    20,821/44,965.50 = 44,965.50/x
  3. Step 3: Cross multiply
    20,821x = 44,965.50 × 44,965.50
  4. Step 4: Simplify right side
    20,821x = 2,021,896,190.25
  5. Step 5: Solve for x
    x = 2,021,896,190.25/20,821
  6. Step 6: Final answer
    x = 97,108.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.