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Finding the Third Proportional to 13,683.50 and 20,539

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Solution

The third proportional to 13,683.50 and 20,539 is: 30,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.50 : 20,539 = 20,539 : x
  2. Step 2: Convert to fraction form
    13,683.50/20,539 = 20,539/x
  3. Step 3: Cross multiply
    13,683.50x = 20,539 × 20,539
  4. Step 4: Simplify right side
    13,683.50x = 421,850,521
  5. Step 5: Solve for x
    x = 421,850,521/13,683.50
  6. Step 6: Final answer
    x = 30,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.