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Finding the Third Proportional to 23,000 and 34,257

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Solution

The third proportional to 23,000 and 34,257 is: 51,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 34,257 = 34,257 : x
  2. Step 2: Convert to fraction form
    23,000/34,257 = 34,257/x
  3. Step 3: Cross multiply
    23,000x = 34,257 × 34,257
  4. Step 4: Simplify right side
    23,000x = 1,173,542,049
  5. Step 5: Solve for x
    x = 1,173,542,049/23,000
  6. Step 6: Final answer
    x = 51,023.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.