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Finding the Third Proportional to 17,035.31 and 35,447.63

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Solution

The third proportional to 17,035.31 and 35,447.63 is: 73,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.31 : 35,447.63 = 35,447.63 : x
  2. Step 2: Convert to fraction form
    17,035.31/35,447.63 = 35,447.63/x
  3. Step 3: Cross multiply
    17,035.31x = 35,447.63 × 35,447.63
  4. Step 4: Simplify right side
    17,035.31x = 1,256,534,118.14
  5. Step 5: Solve for x
    x = 1,256,534,118.14/17,035.31
  6. Step 6: Final answer
    x = 73,760.56

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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.