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Finding the Third Proportional to 20,214 and 34,443

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Solution

The third proportional to 20,214 and 34,443 is: 58,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 34,443 = 34,443 : x
  2. Step 2: Convert to fraction form
    20,214/34,443 = 34,443/x
  3. Step 3: Cross multiply
    20,214x = 34,443 × 34,443
  4. Step 4: Simplify right side
    20,214x = 1,186,320,249
  5. Step 5: Solve for x
    x = 1,186,320,249/20,214
  6. Step 6: Final answer
    x = 58,688.05

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.