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Finding the Third Proportional to 51,844 and 76,672

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Solution

The third proportional to 51,844 and 76,672 is: 113,390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844 : 76,672 = 76,672 : x
  2. Step 2: Convert to fraction form
    51,844/76,672 = 76,672/x
  3. Step 3: Cross multiply
    51,844x = 76,672 × 76,672
  4. Step 4: Simplify right side
    51,844x = 5,878,595,584
  5. Step 5: Solve for x
    x = 5,878,595,584/51,844
  6. Step 6: Final answer
    x = 113,390.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.