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Finding the Third Proportional to 5,539.50 and 12,002.06

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Solution

The third proportional to 5,539.50 and 12,002.06 is: 26,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.50 : 12,002.06 = 12,002.06 : x
  2. Step 2: Convert to fraction form
    5,539.50/12,002.06 = 12,002.06/x
  3. Step 3: Cross multiply
    5,539.50x = 12,002.06 × 12,002.06
  4. Step 4: Simplify right side
    5,539.50x = 144,049,504.25
  5. Step 5: Solve for x
    x = 144,049,504.25/5,539.50
  6. Step 6: Final answer
    x = 26,004.06

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Why These Related Problems?

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