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Finding the Third Proportional to 2,316.09 and 3,233.67

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Solution

The third proportional to 2,316.09 and 3,233.67 is: 4,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.09 : 3,233.67 = 3,233.67 : x
  2. Step 2: Convert to fraction form
    2,316.09/3,233.67 = 3,233.67/x
  3. Step 3: Cross multiply
    2,316.09x = 3,233.67 × 3,233.67
  4. Step 4: Simplify right side
    2,316.09x = 10,456,633.80
  5. Step 5: Solve for x
    x = 10,456,633.80/2,316.09
  6. Step 6: Final answer
    x = 4,514.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.