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Finding the Third Proportional to 35,674 and 75,929

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Solution

The third proportional to 35,674 and 75,929 is: 161,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674 : 75,929 = 75,929 : x
  2. Step 2: Convert to fraction form
    35,674/75,929 = 75,929/x
  3. Step 3: Cross multiply
    35,674x = 75,929 × 75,929
  4. Step 4: Simplify right side
    35,674x = 5,765,213,041
  5. Step 5: Solve for x
    x = 5,765,213,041/35,674
  6. Step 6: Final answer
    x = 161,608.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.