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Finding the Third Proportional to 36,421 and 54,894

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Solution

The third proportional to 36,421 and 54,894 is: 82,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,421 : 54,894 = 54,894 : x
  2. Step 2: Convert to fraction form
    36,421/54,894 = 54,894/x
  3. Step 3: Cross multiply
    36,421x = 54,894 × 54,894
  4. Step 4: Simplify right side
    36,421x = 3,013,351,236
  5. Step 5: Solve for x
    x = 3,013,351,236/36,421
  6. Step 6: Final answer
    x = 82,736.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.