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Finding the Third Proportional to 19,400 and 32,684

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Solution

The third proportional to 19,400 and 32,684 is: 55,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 32,684 = 32,684 : x
  2. Step 2: Convert to fraction form
    19,400/32,684 = 32,684/x
  3. Step 3: Cross multiply
    19,400x = 32,684 × 32,684
  4. Step 4: Simplify right side
    19,400x = 1,068,243,856
  5. Step 5: Solve for x
    x = 1,068,243,856/19,400
  6. Step 6: Final answer
    x = 55,064.12

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.