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Finding the Third Proportional to 23,092 and 30,932

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Solution

The third proportional to 23,092 and 30,932 is: 41,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092 : 30,932 = 30,932 : x
  2. Step 2: Convert to fraction form
    23,092/30,932 = 30,932/x
  3. Step 3: Cross multiply
    23,092x = 30,932 × 30,932
  4. Step 4: Simplify right side
    23,092x = 956,788,624
  5. Step 5: Solve for x
    x = 956,788,624/23,092
  6. Step 6: Final answer
    x = 41,433.77

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.