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Finding the Third Proportional to 1,243.69 and 2,532.94

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Solution

The third proportional to 1,243.69 and 2,532.94 is: 5,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.69 : 2,532.94 = 2,532.94 : x
  2. Step 2: Convert to fraction form
    1,243.69/2,532.94 = 2,532.94/x
  3. Step 3: Cross multiply
    1,243.69x = 2,532.94 × 2,532.94
  4. Step 4: Simplify right side
    1,243.69x = 6,415,772.38
  5. Step 5: Solve for x
    x = 6,415,772.38/1,243.69
  6. Step 6: Final answer
    x = 5,158.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.