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Finding the Third Proportional to 20,083.50 and 31,236.75

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Solution

The third proportional to 20,083.50 and 31,236.75 is: 48,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.50 : 31,236.75 = 31,236.75 : x
  2. Step 2: Convert to fraction form
    20,083.50/31,236.75 = 31,236.75/x
  3. Step 3: Cross multiply
    20,083.50x = 31,236.75 × 31,236.75
  4. Step 4: Simplify right side
    20,083.50x = 975,734,550.56
  5. Step 5: Solve for x
    x = 975,734,550.56/20,083.50
  6. Step 6: Final answer
    x = 48,583.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.