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Finding the Third Proportional to 20,769 and 32,213

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Solution

The third proportional to 20,769 and 32,213 is: 49,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 32,213 = 32,213 : x
  2. Step 2: Convert to fraction form
    20,769/32,213 = 32,213/x
  3. Step 3: Cross multiply
    20,769x = 32,213 × 32,213
  4. Step 4: Simplify right side
    20,769x = 1,037,677,369
  5. Step 5: Solve for x
    x = 1,037,677,369/20,769
  6. Step 6: Final answer
    x = 49,962.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.