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Finding the Third Proportional to 31,969 and 43,281

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Solution

The third proportional to 31,969 and 43,281 is: 58,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969 : 43,281 = 43,281 : x
  2. Step 2: Convert to fraction form
    31,969/43,281 = 43,281/x
  3. Step 3: Cross multiply
    31,969x = 43,281 × 43,281
  4. Step 4: Simplify right side
    31,969x = 1,873,244,961
  5. Step 5: Solve for x
    x = 1,873,244,961/31,969
  6. Step 6: Final answer
    x = 58,595.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.