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Finding the Third Proportional to 14,620 and 22,679

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Solution

The third proportional to 14,620 and 22,679 is: 35,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620 : 22,679 = 22,679 : x
  2. Step 2: Convert to fraction form
    14,620/22,679 = 22,679/x
  3. Step 3: Cross multiply
    14,620x = 22,679 × 22,679
  4. Step 4: Simplify right side
    14,620x = 514,337,041
  5. Step 5: Solve for x
    x = 514,337,041/14,620
  6. Step 6: Final answer
    x = 35,180.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.