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Finding the Third Proportional to 23,170 and 37,306

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Solution

The third proportional to 23,170 and 37,306 is: 60,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,170 : 37,306 = 37,306 : x
  2. Step 2: Convert to fraction form
    23,170/37,306 = 37,306/x
  3. Step 3: Cross multiply
    23,170x = 37,306 × 37,306
  4. Step 4: Simplify right side
    23,170x = 1,391,737,636
  5. Step 5: Solve for x
    x = 1,391,737,636/23,170
  6. Step 6: Final answer
    x = 60,066.36

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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.