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Finding the Third Proportional to 948 and 1,826

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Solution

The third proportional to 948 and 1,826 is: 3,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948 : 1,826 = 1,826 : x
  2. Step 2: Convert to fraction form
    948/1,826 = 1,826/x
  3. Step 3: Cross multiply
    948x = 1,826 × 1,826
  4. Step 4: Simplify right side
    948x = 3,334,276
  5. Step 5: Solve for x
    x = 3,334,276/948
  6. Step 6: Final answer
    x = 3,517.17

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.