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Finding the Third Proportional to 1,781 and 1,937

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Solution

The third proportional to 1,781 and 1,937 is: 2,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781 : 1,937 = 1,937 : x
  2. Step 2: Convert to fraction form
    1,781/1,937 = 1,937/x
  3. Step 3: Cross multiply
    1,781x = 1,937 × 1,937
  4. Step 4: Simplify right side
    1,781x = 3,751,969
  5. Step 5: Solve for x
    x = 3,751,969/1,781
  6. Step 6: Final answer
    x = 2,106.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.