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Finding the Third Proportional to 20,919.94 and 45,986.06

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Solution

The third proportional to 20,919.94 and 45,986.06 is: 101,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919.94 : 45,986.06 = 45,986.06 : x
  2. Step 2: Convert to fraction form
    20,919.94/45,986.06 = 45,986.06/x
  3. Step 3: Cross multiply
    20,919.94x = 45,986.06 × 45,986.06
  4. Step 4: Simplify right side
    20,919.94x = 2,114,717,944.25
  5. Step 5: Solve for x
    x = 2,114,717,944.25/20,919.94
  6. Step 6: Final answer
    x = 101,086.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.