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Finding the Third Proportional to 34,437 and 73,896

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Solution

The third proportional to 34,437 and 73,896 is: 158,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437 : 73,896 = 73,896 : x
  2. Step 2: Convert to fraction form
    34,437/73,896 = 73,896/x
  3. Step 3: Cross multiply
    34,437x = 73,896 × 73,896
  4. Step 4: Simplify right side
    34,437x = 5,460,618,816
  5. Step 5: Solve for x
    x = 5,460,618,816/34,437
  6. Step 6: Final answer
    x = 158,568.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.