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Finding the Third Proportional to 20,769 and 32,221

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Solution

The third proportional to 20,769 and 32,221 is: 49,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,769 : 32,221 = 32,221 : x
  2. Step 2: Convert to fraction form
    20,769/32,221 = 32,221/x
  3. Step 3: Cross multiply
    20,769x = 32,221 × 32,221
  4. Step 4: Simplify right side
    20,769x = 1,038,192,841
  5. Step 5: Solve for x
    x = 1,038,192,841/20,769
  6. Step 6: Final answer
    x = 49,987.62

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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.