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Finding the Third Proportional to 20,120.91 and 42,842.67

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Solution

The third proportional to 20,120.91 and 42,842.67 is: 91,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.91 : 42,842.67 = 42,842.67 : x
  2. Step 2: Convert to fraction form
    20,120.91/42,842.67 = 42,842.67/x
  3. Step 3: Cross multiply
    20,120.91x = 42,842.67 × 42,842.67
  4. Step 4: Simplify right side
    20,120.91x = 1,835,494,533.39
  5. Step 5: Solve for x
    x = 1,835,494,533.39/20,120.91
  6. Step 6: Final answer
    x = 91,223.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.