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Finding the Third Proportional to 36,274.50 and 54,426

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Solution

The third proportional to 36,274.50 and 54,426 is: 81,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,274.50 : 54,426 = 54,426 : x
  2. Step 2: Convert to fraction form
    36,274.50/54,426 = 54,426/x
  3. Step 3: Cross multiply
    36,274.50x = 54,426 × 54,426
  4. Step 4: Simplify right side
    36,274.50x = 2,962,189,476
  5. Step 5: Solve for x
    x = 2,962,189,476/36,274.50
  6. Step 6: Final answer
    x = 81,660.38

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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.