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Finding the Third Proportional to 23,026 and 34,397

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Solution

The third proportional to 23,026 and 34,397 is: 51,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026 : 34,397 = 34,397 : x
  2. Step 2: Convert to fraction form
    23,026/34,397 = 34,397/x
  3. Step 3: Cross multiply
    23,026x = 34,397 × 34,397
  4. Step 4: Simplify right side
    23,026x = 1,183,153,609
  5. Step 5: Solve for x
    x = 1,183,153,609/23,026
  6. Step 6: Final answer
    x = 51,383.38

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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.