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Finding the Third Proportional to 18,520 and 32,944

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Solution

The third proportional to 18,520 and 32,944 is: 58,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,520 : 32,944 = 32,944 : x
  2. Step 2: Convert to fraction form
    18,520/32,944 = 32,944/x
  3. Step 3: Cross multiply
    18,520x = 32,944 × 32,944
  4. Step 4: Simplify right side
    18,520x = 1,085,307,136
  5. Step 5: Solve for x
    x = 1,085,307,136/18,520
  6. Step 6: Final answer
    x = 58,601.90

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.