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Finding the Third Proportional to 21,179.81 and 45,847.69

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Solution

The third proportional to 21,179.81 and 45,847.69 is: 99,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.81 : 45,847.69 = 45,847.69 : x
  2. Step 2: Convert to fraction form
    21,179.81/45,847.69 = 45,847.69/x
  3. Step 3: Cross multiply
    21,179.81x = 45,847.69 × 45,847.69
  4. Step 4: Simplify right side
    21,179.81x = 2,102,010,449.10
  5. Step 5: Solve for x
    x = 2,102,010,449.10/21,179.81
  6. Step 6: Final answer
    x = 99,245.94

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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.