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Finding the Third Proportional to 5,968.69 and 12,129.75

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Solution

The third proportional to 5,968.69 and 12,129.75 is: 24,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.69 : 12,129.75 = 12,129.75 : x
  2. Step 2: Convert to fraction form
    5,968.69/12,129.75 = 12,129.75/x
  3. Step 3: Cross multiply
    5,968.69x = 12,129.75 × 12,129.75
  4. Step 4: Simplify right side
    5,968.69x = 147,130,835.06
  5. Step 5: Solve for x
    x = 147,130,835.06/5,968.69
  6. Step 6: Final answer
    x = 24,650.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.