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Finding the Third Proportional to 23,426 and 50,821

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Solution

The third proportional to 23,426 and 50,821 is: 110,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426 : 50,821 = 50,821 : x
  2. Step 2: Convert to fraction form
    23,426/50,821 = 50,821/x
  3. Step 3: Cross multiply
    23,426x = 50,821 × 50,821
  4. Step 4: Simplify right side
    23,426x = 2,582,774,041
  5. Step 5: Solve for x
    x = 2,582,774,041/23,426
  6. Step 6: Final answer
    x = 110,252.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.