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Finding the Third Proportional to 10,894 and 13,378

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Solution

The third proportional to 10,894 and 13,378 is: 16,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894 : 13,378 = 13,378 : x
  2. Step 2: Convert to fraction form
    10,894/13,378 = 13,378/x
  3. Step 3: Cross multiply
    10,894x = 13,378 × 13,378
  4. Step 4: Simplify right side
    10,894x = 178,970,884
  5. Step 5: Solve for x
    x = 178,970,884/10,894
  6. Step 6: Final answer
    x = 16,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.