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Finding the Third Proportional to 36,465 and 54,698

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Solution

The third proportional to 36,465 and 54,698 is: 82,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,465 : 54,698 = 54,698 : x
  2. Step 2: Convert to fraction form
    36,465/54,698 = 54,698/x
  3. Step 3: Cross multiply
    36,465x = 54,698 × 54,698
  4. Step 4: Simplify right side
    36,465x = 2,991,871,204
  5. Step 5: Solve for x
    x = 2,991,871,204/36,465
  6. Step 6: Final answer
    x = 82,047.75

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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.