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Finding the Third Proportional to 22,760 and 34,604

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Solution

The third proportional to 22,760 and 34,604 is: 52,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760 : 34,604 = 34,604 : x
  2. Step 2: Convert to fraction form
    22,760/34,604 = 34,604/x
  3. Step 3: Cross multiply
    22,760x = 34,604 × 34,604
  4. Step 4: Simplify right side
    22,760x = 1,197,436,816
  5. Step 5: Solve for x
    x = 1,197,436,816/22,760
  6. Step 6: Final answer
    x = 52,611.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.