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Finding the Third Proportional to 2,316.09 and 4,233.52

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Solution

The third proportional to 2,316.09 and 4,233.52 is: 7,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.09 : 4,233.52 = 4,233.52 : x
  2. Step 2: Convert to fraction form
    2,316.09/4,233.52 = 4,233.52/x
  3. Step 3: Cross multiply
    2,316.09x = 4,233.52 × 4,233.52
  4. Step 4: Simplify right side
    2,316.09x = 17,922,654.55
  5. Step 5: Solve for x
    x = 17,922,654.55/2,316.09
  6. Step 6: Final answer
    x = 7,738.31

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.