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Finding the Third Proportional to 36,955 and 83,775

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Solution

The third proportional to 36,955 and 83,775 is: 189,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,955 : 83,775 = 83,775 : x
  2. Step 2: Convert to fraction form
    36,955/83,775 = 83,775/x
  3. Step 3: Cross multiply
    36,955x = 83,775 × 83,775
  4. Step 4: Simplify right side
    36,955x = 7,018,250,625
  5. Step 5: Solve for x
    x = 7,018,250,625/36,955
  6. Step 6: Final answer
    x = 189,913.43

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.