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Finding the Third Proportional to 21,103 and 32,212

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Solution

The third proportional to 21,103 and 32,212 is: 49,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103 : 32,212 = 32,212 : x
  2. Step 2: Convert to fraction form
    21,103/32,212 = 32,212/x
  3. Step 3: Cross multiply
    21,103x = 32,212 × 32,212
  4. Step 4: Simplify right side
    21,103x = 1,037,612,944
  5. Step 5: Solve for x
    x = 1,037,612,944/21,103
  6. Step 6: Final answer
    x = 49,168.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.