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Finding the Third Proportional to 36,714 and 57,235

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Solution

The third proportional to 36,714 and 57,235 is: 89,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714 : 57,235 = 57,235 : x
  2. Step 2: Convert to fraction form
    36,714/57,235 = 57,235/x
  3. Step 3: Cross multiply
    36,714x = 57,235 × 57,235
  4. Step 4: Simplify right side
    36,714x = 3,275,845,225
  5. Step 5: Solve for x
    x = 3,275,845,225/36,714
  6. Step 6: Final answer
    x = 89,226.05

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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.