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Finding the Third Proportional to 36,820.13 and 57,599.44

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Solution

The third proportional to 36,820.13 and 57,599.44 is: 90,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820.13 : 57,599.44 = 57,599.44 : x
  2. Step 2: Convert to fraction form
    36,820.13/57,599.44 = 57,599.44/x
  3. Step 3: Cross multiply
    36,820.13x = 57,599.44 × 57,599.44
  4. Step 4: Simplify right side
    36,820.13x = 3,317,695,200.32
  5. Step 5: Solve for x
    x = 3,317,695,200.32/36,820.13
  6. Step 6: Final answer
    x = 90,105.48

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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.