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Finding the Third Proportional to 2,382.19 and 2,584.69

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Solution

The third proportional to 2,382.19 and 2,584.69 is: 2,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.19 : 2,584.69 = 2,584.69 : x
  2. Step 2: Convert to fraction form
    2,382.19/2,584.69 = 2,584.69/x
  3. Step 3: Cross multiply
    2,382.19x = 2,584.69 × 2,584.69
  4. Step 4: Simplify right side
    2,382.19x = 6,680,609.47
  5. Step 5: Solve for x
    x = 6,680,609.47/2,382.19
  6. Step 6: Final answer
    x = 2,804.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.