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Finding the Third Proportional to 2,000 and 3,688

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Solution

The third proportional to 2,000 and 3,688 is: 6,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000 : 3,688 = 3,688 : x
  2. Step 2: Convert to fraction form
    2,000/3,688 = 3,688/x
  3. Step 3: Cross multiply
    2,000x = 3,688 × 3,688
  4. Step 4: Simplify right side
    2,000x = 13,601,344
  5. Step 5: Solve for x
    x = 13,601,344/2,000
  6. Step 6: Final answer
    x = 6,800.67

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.