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Finding the Third Proportional to 3,894 and 8,544

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Solution

The third proportional to 3,894 and 8,544 is: 18,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894 : 8,544 = 8,544 : x
  2. Step 2: Convert to fraction form
    3,894/8,544 = 8,544/x
  3. Step 3: Cross multiply
    3,894x = 8,544 × 8,544
  4. Step 4: Simplify right side
    3,894x = 72,999,936
  5. Step 5: Solve for x
    x = 72,999,936/3,894
  6. Step 6: Final answer
    x = 18,746.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.