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Finding the Third Proportional to 23,454 and 50,823

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Solution

The third proportional to 23,454 and 50,823 is: 110,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 50,823 = 50,823 : x
  2. Step 2: Convert to fraction form
    23,454/50,823 = 50,823/x
  3. Step 3: Cross multiply
    23,454x = 50,823 × 50,823
  4. Step 4: Simplify right side
    23,454x = 2,582,977,329
  5. Step 5: Solve for x
    x = 2,582,977,329/23,454
  6. Step 6: Final answer
    x = 110,129.50

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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.