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Finding the Third Proportional to 1,792.13 and 3,850.03

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Solution

The third proportional to 1,792.13 and 3,850.03 is: 8,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.13 : 3,850.03 = 3,850.03 : x
  2. Step 2: Convert to fraction form
    1,792.13/3,850.03 = 3,850.03/x
  3. Step 3: Cross multiply
    1,792.13x = 3,850.03 × 3,850.03
  4. Step 4: Simplify right side
    1,792.13x = 14,822,740.63
  5. Step 5: Solve for x
    x = 14,822,740.63/1,792.13
  6. Step 6: Final answer
    x = 8,271.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.