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Finding the Third Proportional to 1,738 and 3,685

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Solution

The third proportional to 1,738 and 3,685 is: 7,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738 : 3,685 = 3,685 : x
  2. Step 2: Convert to fraction form
    1,738/3,685 = 3,685/x
  3. Step 3: Cross multiply
    1,738x = 3,685 × 3,685
  4. Step 4: Simplify right side
    1,738x = 13,579,225
  5. Step 5: Solve for x
    x = 13,579,225/1,738
  6. Step 6: Final answer
    x = 7,813.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.