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Finding the Third Proportional to 26,676 and 38,829

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Solution

The third proportional to 26,676 and 38,829 is: 56,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,676 : 38,829 = 38,829 : x
  2. Step 2: Convert to fraction form
    26,676/38,829 = 38,829/x
  3. Step 3: Cross multiply
    26,676x = 38,829 × 38,829
  4. Step 4: Simplify right side
    26,676x = 1,507,691,241
  5. Step 5: Solve for x
    x = 1,507,691,241/26,676
  6. Step 6: Final answer
    x = 56,518.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.