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Finding the Third Proportional to 941 and 2,348

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Solution

The third proportional to 941 and 2,348 is: 5,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    941 : 2,348 = 2,348 : x
  2. Step 2: Convert to fraction form
    941/2,348 = 2,348/x
  3. Step 3: Cross multiply
    941x = 2,348 × 2,348
  4. Step 4: Simplify right side
    941x = 5,513,104
  5. Step 5: Solve for x
    x = 5,513,104/941
  6. Step 6: Final answer
    x = 5,858.77

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.