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Finding the Third Proportional to 22,708 and 34,170

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Solution

The third proportional to 22,708 and 34,170 is: 51,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708 : 34,170 = 34,170 : x
  2. Step 2: Convert to fraction form
    22,708/34,170 = 34,170/x
  3. Step 3: Cross multiply
    22,708x = 34,170 × 34,170
  4. Step 4: Simplify right side
    22,708x = 1,167,588,900
  5. Step 5: Solve for x
    x = 1,167,588,900/22,708
  6. Step 6: Final answer
    x = 51,417.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.