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Finding the Third Proportional to 5,767.45 and 12,613.22

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Solution

The third proportional to 5,767.45 and 12,613.22 is: 27,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.45 : 12,613.22 = 12,613.22 : x
  2. Step 2: Convert to fraction form
    5,767.45/12,613.22 = 12,613.22/x
  3. Step 3: Cross multiply
    5,767.45x = 12,613.22 × 12,613.22
  4. Step 4: Simplify right side
    5,767.45x = 159,093,287.24
  5. Step 5: Solve for x
    x = 159,093,287.24/5,767.45
  6. Step 6: Final answer
    x = 27,584.67

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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.