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Finding the Third Proportional to 13,001 and 28,378

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Solution

The third proportional to 13,001 and 28,378 is: 61,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001 : 28,378 = 28,378 : x
  2. Step 2: Convert to fraction form
    13,001/28,378 = 28,378/x
  3. Step 3: Cross multiply
    13,001x = 28,378 × 28,378
  4. Step 4: Simplify right side
    13,001x = 805,310,884
  5. Step 5: Solve for x
    x = 805,310,884/13,001
  6. Step 6: Final answer
    x = 61,942.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.