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Finding the Third Proportional to 51,828 and 73,398

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Solution

The third proportional to 51,828 and 73,398 is: 103,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 73,398 = 73,398 : x
  2. Step 2: Convert to fraction form
    51,828/73,398 = 73,398/x
  3. Step 3: Cross multiply
    51,828x = 73,398 × 73,398
  4. Step 4: Simplify right side
    51,828x = 5,387,266,404
  5. Step 5: Solve for x
    x = 5,387,266,404/51,828
  6. Step 6: Final answer
    x = 103,945.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.