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Finding the Third Proportional to 36,004 and 74,896

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Solution

The third proportional to 36,004 and 74,896 is: 155,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,004 : 74,896 = 74,896 : x
  2. Step 2: Convert to fraction form
    36,004/74,896 = 74,896/x
  3. Step 3: Cross multiply
    36,004x = 74,896 × 74,896
  4. Step 4: Simplify right side
    36,004x = 5,609,410,816
  5. Step 5: Solve for x
    x = 5,609,410,816/36,004
  6. Step 6: Final answer
    x = 155,799.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.