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Finding the Third Proportional to 40,634 and 53,932

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Solution

The third proportional to 40,634 and 53,932 is: 71,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,634 : 53,932 = 53,932 : x
  2. Step 2: Convert to fraction form
    40,634/53,932 = 53,932/x
  3. Step 3: Cross multiply
    40,634x = 53,932 × 53,932
  4. Step 4: Simplify right side
    40,634x = 2,908,660,624
  5. Step 5: Solve for x
    x = 2,908,660,624/40,634
  6. Step 6: Final answer
    x = 71,581.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.