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Finding the Third Proportional to 54,383 and 76,583

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Solution

The third proportional to 54,383 and 76,583 is: 107,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,383 : 76,583 = 76,583 : x
  2. Step 2: Convert to fraction form
    54,383/76,583 = 76,583/x
  3. Step 3: Cross multiply
    54,383x = 76,583 × 76,583
  4. Step 4: Simplify right side
    54,383x = 5,864,955,889
  5. Step 5: Solve for x
    x = 5,864,955,889/54,383
  6. Step 6: Final answer
    x = 107,845.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.