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Finding the Third Proportional to 23,207 and 37,367

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Solution

The third proportional to 23,207 and 37,367 is: 60,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207 : 37,367 = 37,367 : x
  2. Step 2: Convert to fraction form
    23,207/37,367 = 37,367/x
  3. Step 3: Cross multiply
    23,207x = 37,367 × 37,367
  4. Step 4: Simplify right side
    23,207x = 1,396,292,689
  5. Step 5: Solve for x
    x = 1,396,292,689/23,207
  6. Step 6: Final answer
    x = 60,166.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.