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Finding the Third Proportional to 36,242 and 51,037

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Solution

The third proportional to 36,242 and 51,037 is: 71,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,242 : 51,037 = 51,037 : x
  2. Step 2: Convert to fraction form
    36,242/51,037 = 51,037/x
  3. Step 3: Cross multiply
    36,242x = 51,037 × 51,037
  4. Step 4: Simplify right side
    36,242x = 2,604,775,369
  5. Step 5: Solve for x
    x = 2,604,775,369/36,242
  6. Step 6: Final answer
    x = 71,871.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.