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Finding the Third Proportional to 14,676 and 24,930

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Solution

The third proportional to 14,676 and 24,930 is: 42,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676 : 24,930 = 24,930 : x
  2. Step 2: Convert to fraction form
    14,676/24,930 = 24,930/x
  3. Step 3: Cross multiply
    14,676x = 24,930 × 24,930
  4. Step 4: Simplify right side
    14,676x = 621,504,900
  5. Step 5: Solve for x
    x = 621,504,900/14,676
  6. Step 6: Final answer
    x = 42,348.39

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.