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Finding the Third Proportional to 14,980 and 32,876

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Solution

The third proportional to 14,980 and 32,876 is: 72,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980 : 32,876 = 32,876 : x
  2. Step 2: Convert to fraction form
    14,980/32,876 = 32,876/x
  3. Step 3: Cross multiply
    14,980x = 32,876 × 32,876
  4. Step 4: Simplify right side
    14,980x = 1,080,831,376
  5. Step 5: Solve for x
    x = 1,080,831,376/14,980
  6. Step 6: Final answer
    x = 72,151.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.