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Finding the Third Proportional to 35,505.75 and 75,932.34

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Solution

The third proportional to 35,505.75 and 75,932.34 is: 162,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.75 : 75,932.34 = 75,932.34 : x
  2. Step 2: Convert to fraction form
    35,505.75/75,932.34 = 75,932.34/x
  3. Step 3: Cross multiply
    35,505.75x = 75,932.34 × 75,932.34
  4. Step 4: Simplify right side
    35,505.75x = 5,765,720,827.37
  5. Step 5: Solve for x
    x = 5,765,720,827.37/35,505.75
  6. Step 6: Final answer
    x = 162,388.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.