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Finding the Third Proportional to 23,214 and 50,631

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Solution

The third proportional to 23,214 and 50,631 is: 110,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 50,631 = 50,631 : x
  2. Step 2: Convert to fraction form
    23,214/50,631 = 50,631/x
  3. Step 3: Cross multiply
    23,214x = 50,631 × 50,631
  4. Step 4: Simplify right side
    23,214x = 2,563,498,161
  5. Step 5: Solve for x
    x = 2,563,498,161/23,214
  6. Step 6: Final answer
    x = 110,428.97

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.