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Finding the Third Proportional to 36,824 and 57,416

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Solution

The third proportional to 36,824 and 57,416 is: 89,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,824 : 57,416 = 57,416 : x
  2. Step 2: Convert to fraction form
    36,824/57,416 = 57,416/x
  3. Step 3: Cross multiply
    36,824x = 57,416 × 57,416
  4. Step 4: Simplify right side
    36,824x = 3,296,597,056
  5. Step 5: Solve for x
    x = 3,296,597,056/36,824
  6. Step 6: Final answer
    x = 89,523.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.