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Finding the Third Proportional to 5,589.63 and 12,230.16

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Solution

The third proportional to 5,589.63 and 12,230.16 is: 26,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.63 : 12,230.16 = 12,230.16 : x
  2. Step 2: Convert to fraction form
    5,589.63/12,230.16 = 12,230.16/x
  3. Step 3: Cross multiply
    5,589.63x = 12,230.16 × 12,230.16
  4. Step 4: Simplify right side
    5,589.63x = 149,576,721.90
  5. Step 5: Solve for x
    x = 149,576,721.90/5,589.63
  6. Step 6: Final answer
    x = 26,759.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.