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Finding the Third Proportional to 54,447 and 73,893

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Solution

The third proportional to 54,447 and 73,893 is: 100,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,447 : 73,893 = 73,893 : x
  2. Step 2: Convert to fraction form
    54,447/73,893 = 73,893/x
  3. Step 3: Cross multiply
    54,447x = 73,893 × 73,893
  4. Step 4: Simplify right side
    54,447x = 5,460,175,449
  5. Step 5: Solve for x
    x = 5,460,175,449/54,447
  6. Step 6: Final answer
    x = 100,284.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.