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Finding the Third Proportional to 1,836 and 3,730

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Solution

The third proportional to 1,836 and 3,730 is: 7,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 3,730 = 3,730 : x
  2. Step 2: Convert to fraction form
    1,836/3,730 = 3,730/x
  3. Step 3: Cross multiply
    1,836x = 3,730 × 3,730
  4. Step 4: Simplify right side
    1,836x = 13,912,900
  5. Step 5: Solve for x
    x = 13,912,900/1,836
  6. Step 6: Final answer
    x = 7,577.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.