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Finding the Third Proportional to 13,382 and 27,826

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Solution

The third proportional to 13,382 and 27,826 is: 57,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382 : 27,826 = 27,826 : x
  2. Step 2: Convert to fraction form
    13,382/27,826 = 27,826/x
  3. Step 3: Cross multiply
    13,382x = 27,826 × 27,826
  4. Step 4: Simplify right side
    13,382x = 774,286,276
  5. Step 5: Solve for x
    x = 774,286,276/13,382
  6. Step 6: Final answer
    x = 57,860.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.