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Finding the Third Proportional to 14,720 and 30,876

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Solution

The third proportional to 14,720 and 30,876 is: 64,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720 : 30,876 = 30,876 : x
  2. Step 2: Convert to fraction form
    14,720/30,876 = 30,876/x
  3. Step 3: Cross multiply
    14,720x = 30,876 × 30,876
  4. Step 4: Simplify right side
    14,720x = 953,327,376
  5. Step 5: Solve for x
    x = 953,327,376/14,720
  6. Step 6: Final answer
    x = 64,764.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.