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Finding the Third Proportional to 3,313.69 and 7,085.81

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Solution

The third proportional to 3,313.69 and 7,085.81 is: 15,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.69 : 7,085.81 = 7,085.81 : x
  2. Step 2: Convert to fraction form
    3,313.69/7,085.81 = 7,085.81/x
  3. Step 3: Cross multiply
    3,313.69x = 7,085.81 × 7,085.81
  4. Step 4: Simplify right side
    3,313.69x = 50,208,738.79
  5. Step 5: Solve for x
    x = 50,208,738.79/3,313.69
  6. Step 6: Final answer
    x = 15,151.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.