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Finding the Third Proportional to 35,364.09 and 75,789.42

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Solution

The third proportional to 35,364.09 and 75,789.42 is: 162,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,364.09 : 75,789.42 = 75,789.42 : x
  2. Step 2: Convert to fraction form
    35,364.09/75,789.42 = 75,789.42/x
  3. Step 3: Cross multiply
    35,364.09x = 75,789.42 × 75,789.42
  4. Step 4: Simplify right side
    35,364.09x = 5,744,036,468.15
  5. Step 5: Solve for x
    x = 5,744,036,468.15/35,364.09
  6. Step 6: Final answer
    x = 162,425.67

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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.