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Finding the Third Proportional to 35,456.63 and 75,606.75

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Solution

The third proportional to 35,456.63 and 75,606.75 is: 161,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456.63 : 75,606.75 = 75,606.75 : x
  2. Step 2: Convert to fraction form
    35,456.63/75,606.75 = 75,606.75/x
  3. Step 3: Cross multiply
    35,456.63x = 75,606.75 × 75,606.75
  4. Step 4: Simplify right side
    35,456.63x = 5,716,380,645.56
  5. Step 5: Solve for x
    x = 5,716,380,645.56/35,456.63
  6. Step 6: Final answer
    x = 161,221.79

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