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Finding the Third Proportional to 1,792.69 and 2,740.41

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Solution

The third proportional to 1,792.69 and 2,740.41 is: 4,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.69 : 2,740.41 = 2,740.41 : x
  2. Step 2: Convert to fraction form
    1,792.69/2,740.41 = 2,740.41/x
  3. Step 3: Cross multiply
    1,792.69x = 2,740.41 × 2,740.41
  4. Step 4: Simplify right side
    1,792.69x = 7,509,826.42
  5. Step 5: Solve for x
    x = 7,509,826.42/1,792.69
  6. Step 6: Final answer
    x = 4,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.