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Finding the Third Proportional to 23,930 and 34,254

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Solution

The third proportional to 23,930 and 34,254 is: 49,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 34,254 = 34,254 : x
  2. Step 2: Convert to fraction form
    23,930/34,254 = 34,254/x
  3. Step 3: Cross multiply
    23,930x = 34,254 × 34,254
  4. Step 4: Simplify right side
    23,930x = 1,173,336,516
  5. Step 5: Solve for x
    x = 1,173,336,516/23,930
  6. Step 6: Final answer
    x = 49,032.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.