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Finding the Third Proportional to 13,688 and 20,500

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Solution

The third proportional to 13,688 and 20,500 is: 30,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688 : 20,500 = 20,500 : x
  2. Step 2: Convert to fraction form
    13,688/20,500 = 20,500/x
  3. Step 3: Cross multiply
    13,688x = 20,500 × 20,500
  4. Step 4: Simplify right side
    13,688x = 420,250,000
  5. Step 5: Solve for x
    x = 420,250,000/13,688
  6. Step 6: Final answer
    x = 30,702.07

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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.