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Finding the Third Proportional to 20,061 and 31,873.50

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Solution

The third proportional to 20,061 and 31,873.50 is: 50,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061 : 31,873.50 = 31,873.50 : x
  2. Step 2: Convert to fraction form
    20,061/31,873.50 = 31,873.50/x
  3. Step 3: Cross multiply
    20,061x = 31,873.50 × 31,873.50
  4. Step 4: Simplify right side
    20,061x = 1,015,920,002.25
  5. Step 5: Solve for x
    x = 1,015,920,002.25/20,061
  6. Step 6: Final answer
    x = 50,641.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.