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Finding the Third Proportional to 51,984 and 76,824

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Solution

The third proportional to 51,984 and 76,824 is: 113,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,984 : 76,824 = 76,824 : x
  2. Step 2: Convert to fraction form
    51,984/76,824 = 76,824/x
  3. Step 3: Cross multiply
    51,984x = 76,824 × 76,824
  4. Step 4: Simplify right side
    51,984x = 5,901,926,976
  5. Step 5: Solve for x
    x = 5,901,926,976/51,984
  6. Step 6: Final answer
    x = 113,533.53

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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.