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Finding the Third Proportional to 20,313.50 and 31,010.25

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Solution

The third proportional to 20,313.50 and 31,010.25 is: 47,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.50 : 31,010.25 = 31,010.25 : x
  2. Step 2: Convert to fraction form
    20,313.50/31,010.25 = 31,010.25/x
  3. Step 3: Cross multiply
    20,313.50x = 31,010.25 × 31,010.25
  4. Step 4: Simplify right side
    20,313.50x = 961,635,605.06
  5. Step 5: Solve for x
    x = 961,635,605.06/20,313.50
  6. Step 6: Final answer
    x = 47,339.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.