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Finding the Third Proportional to 20,035 and 42,849.50

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Solution

The third proportional to 20,035 and 42,849.50 is: 91,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035 : 42,849.50 = 42,849.50 : x
  2. Step 2: Convert to fraction form
    20,035/42,849.50 = 42,849.50/x
  3. Step 3: Cross multiply
    20,035x = 42,849.50 × 42,849.50
  4. Step 4: Simplify right side
    20,035x = 1,836,079,650.25
  5. Step 5: Solve for x
    x = 1,836,079,650.25/20,035
  6. Step 6: Final answer
    x = 91,643.61

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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.