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Finding the Third Proportional to 2,006 and 3,730

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Solution

The third proportional to 2,006 and 3,730 is: 6,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006 : 3,730 = 3,730 : x
  2. Step 2: Convert to fraction form
    2,006/3,730 = 3,730/x
  3. Step 3: Cross multiply
    2,006x = 3,730 × 3,730
  4. Step 4: Simplify right side
    2,006x = 13,912,900
  5. Step 5: Solve for x
    x = 13,912,900/2,006
  6. Step 6: Final answer
    x = 6,935.64

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.