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Finding the Third Proportional to 36,298 and 55,500

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Solution

The third proportional to 36,298 and 55,500 is: 84,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298 : 55,500 = 55,500 : x
  2. Step 2: Convert to fraction form
    36,298/55,500 = 55,500/x
  3. Step 3: Cross multiply
    36,298x = 55,500 × 55,500
  4. Step 4: Simplify right side
    36,298x = 3,080,250,000
  5. Step 5: Solve for x
    x = 3,080,250,000/36,298
  6. Step 6: Final answer
    x = 84,860.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.