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Finding the Third Proportional to 1,781 and 3,724

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Solution

The third proportional to 1,781 and 3,724 is: 7,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 3,724 = 3,724 : x
  2. Step 2: Convert to fraction form
    1,781/3,724 = 3,724/x
  3. Step 3: Cross multiply
    1,781x = 3,724 × 3,724
  4. Step 4: Simplify right side
    1,781x = 13,868,176
  5. Step 5: Solve for x
    x = 13,868,176/1,781
  6. Step 6: Final answer
    x = 7,786.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.