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Finding the Third Proportional to 21,022 and 31,558

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Solution

The third proportional to 21,022 and 31,558 is: 47,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022 : 31,558 = 31,558 : x
  2. Step 2: Convert to fraction form
    21,022/31,558 = 31,558/x
  3. Step 3: Cross multiply
    21,022x = 31,558 × 31,558
  4. Step 4: Simplify right side
    21,022x = 995,907,364
  5. Step 5: Solve for x
    x = 995,907,364/21,022
  6. Step 6: Final answer
    x = 47,374.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.