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Finding the Third Proportional to 1,364 and 2,845

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Solution

The third proportional to 1,364 and 2,845 is: 5,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364 : 2,845 = 2,845 : x
  2. Step 2: Convert to fraction form
    1,364/2,845 = 2,845/x
  3. Step 3: Cross multiply
    1,364x = 2,845 × 2,845
  4. Step 4: Simplify right side
    1,364x = 8,094,025
  5. Step 5: Solve for x
    x = 8,094,025/1,364
  6. Step 6: Final answer
    x = 5,934.04

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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.