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Finding the Third Proportional to 13,684 and 20,541

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Solution

The third proportional to 13,684 and 20,541 is: 30,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684 : 20,541 = 20,541 : x
  2. Step 2: Convert to fraction form
    13,684/20,541 = 20,541/x
  3. Step 3: Cross multiply
    13,684x = 20,541 × 20,541
  4. Step 4: Simplify right side
    13,684x = 421,932,681
  5. Step 5: Solve for x
    x = 421,932,681/13,684
  6. Step 6: Final answer
    x = 30,834.02

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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.