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Finding the Third Proportional to 30,181.36 and 65,556.84

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Solution

The third proportional to 30,181.36 and 65,556.84 is: 142,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.36 : 65,556.84 = 65,556.84 : x
  2. Step 2: Convert to fraction form
    30,181.36/65,556.84 = 65,556.84/x
  3. Step 3: Cross multiply
    30,181.36x = 65,556.84 × 65,556.84
  4. Step 4: Simplify right side
    30,181.36x = 4,297,699,762.46
  5. Step 5: Solve for x
    x = 4,297,699,762.46/30,181.36
  6. Step 6: Final answer
    x = 142,395.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.