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Finding the Third Proportional to 20,007.56 and 42,867.84

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Solution

The third proportional to 20,007.56 and 42,867.84 is: 91,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007.56 : 42,867.84 = 42,867.84 : x
  2. Step 2: Convert to fraction form
    20,007.56/42,867.84 = 42,867.84/x
  3. Step 3: Cross multiply
    20,007.56x = 42,867.84 × 42,867.84
  4. Step 4: Simplify right side
    20,007.56x = 1,837,652,027.77
  5. Step 5: Solve for x
    x = 1,837,652,027.77/20,007.56
  6. Step 6: Final answer
    x = 91,847.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.