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Finding the Third Proportional to 13,683 and 20,037

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Solution

The third proportional to 13,683 and 20,037 is: 29,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683 : 20,037 = 20,037 : x
  2. Step 2: Convert to fraction form
    13,683/20,037 = 20,037/x
  3. Step 3: Cross multiply
    13,683x = 20,037 × 20,037
  4. Step 4: Simplify right side
    13,683x = 401,481,369
  5. Step 5: Solve for x
    x = 401,481,369/13,683
  6. Step 6: Final answer
    x = 29,341.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.