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Finding the Third Proportional to 13,182 and 28,378

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Solution

The third proportional to 13,182 and 28,378 is: 61,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 28,378 = 28,378 : x
  2. Step 2: Convert to fraction form
    13,182/28,378 = 28,378/x
  3. Step 3: Cross multiply
    13,182x = 28,378 × 28,378
  4. Step 4: Simplify right side
    13,182x = 805,310,884
  5. Step 5: Solve for x
    x = 805,310,884/13,182
  6. Step 6: Final answer
    x = 61,091.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.