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Finding the Third Proportional to 31,992 and 41,829.75

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Solution

The third proportional to 31,992 and 41,829.75 is: 54,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992 : 41,829.75 = 41,829.75 : x
  2. Step 2: Convert to fraction form
    31,992/41,829.75 = 41,829.75/x
  3. Step 3: Cross multiply
    31,992x = 41,829.75 × 41,829.75
  4. Step 4: Simplify right side
    31,992x = 1,749,727,985.06
  5. Step 5: Solve for x
    x = 1,749,727,985.06/31,992
  6. Step 6: Final answer
    x = 54,692.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.