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Finding the Third Proportional to 5,792.13 and 9,736.14

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Solution

The third proportional to 5,792.13 and 9,736.14 is: 16,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.13 : 9,736.14 = 9,736.14 : x
  2. Step 2: Convert to fraction form
    5,792.13/9,736.14 = 9,736.14/x
  3. Step 3: Cross multiply
    5,792.13x = 9,736.14 × 9,736.14
  4. Step 4: Simplify right side
    5,792.13x = 94,792,358.21
  5. Step 5: Solve for x
    x = 94,792,358.21/5,792.13
  6. Step 6: Final answer
    x = 16,365.71

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.