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Finding the Third Proportional to 20,817.75 and 42,406.50

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Solution

The third proportional to 20,817.75 and 42,406.50 is: 86,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.75 : 42,406.50 = 42,406.50 : x
  2. Step 2: Convert to fraction form
    20,817.75/42,406.50 = 42,406.50/x
  3. Step 3: Cross multiply
    20,817.75x = 42,406.50 × 42,406.50
  4. Step 4: Simplify right side
    20,817.75x = 1,798,311,242.25
  5. Step 5: Solve for x
    x = 1,798,311,242.25/20,817.75
  6. Step 6: Final answer
    x = 86,383.55

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.