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Finding the Third Proportional to 2,079.42 and 2,423.67

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Solution

The third proportional to 2,079.42 and 2,423.67 is: 2,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.42 : 2,423.67 = 2,423.67 : x
  2. Step 2: Convert to fraction form
    2,079.42/2,423.67 = 2,423.67/x
  3. Step 3: Cross multiply
    2,079.42x = 2,423.67 × 2,423.67
  4. Step 4: Simplify right side
    2,079.42x = 5,874,185.36
  5. Step 5: Solve for x
    x = 5,874,185.36/2,079.42
  6. Step 6: Final answer
    x = 2,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.