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Finding the Third Proportional to 36,402 and 54,549

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Solution

The third proportional to 36,402 and 54,549 is: 81,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,402 : 54,549 = 54,549 : x
  2. Step 2: Convert to fraction form
    36,402/54,549 = 54,549/x
  3. Step 3: Cross multiply
    36,402x = 54,549 × 54,549
  4. Step 4: Simplify right side
    36,402x = 2,975,593,401
  5. Step 5: Solve for x
    x = 2,975,593,401/36,402
  6. Step 6: Final answer
    x = 81,742.58

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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.