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Finding the Third Proportional to 36,609.47 and 75,405.94

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Solution

The third proportional to 36,609.47 and 75,405.94 is: 155,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,609.47 : 75,405.94 = 75,405.94 : x
  2. Step 2: Convert to fraction form
    36,609.47/75,405.94 = 75,405.94/x
  3. Step 3: Cross multiply
    36,609.47x = 75,405.94 × 75,405.94
  4. Step 4: Simplify right side
    36,609.47x = 5,686,055,410.25
  5. Step 5: Solve for x
    x = 5,686,055,410.25/36,609.47
  6. Step 6: Final answer
    x = 155,316.52

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.