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Finding the Third Proportional to 36,468 and 54,814

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Solution

The third proportional to 36,468 and 54,814 is: 82,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 54,814 = 54,814 : x
  2. Step 2: Convert to fraction form
    36,468/54,814 = 54,814/x
  3. Step 3: Cross multiply
    36,468x = 54,814 × 54,814
  4. Step 4: Simplify right side
    36,468x = 3,004,574,596
  5. Step 5: Solve for x
    x = 3,004,574,596/36,468
  6. Step 6: Final answer
    x = 82,389.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.