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Finding the Third Proportional to 1,168.31 and 2,555.65

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Solution

The third proportional to 1,168.31 and 2,555.65 is: 5,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.31 : 2,555.65 = 2,555.65 : x
  2. Step 2: Convert to fraction form
    1,168.31/2,555.65 = 2,555.65/x
  3. Step 3: Cross multiply
    1,168.31x = 2,555.65 × 2,555.65
  4. Step 4: Simplify right side
    1,168.31x = 6,531,338.94
  5. Step 5: Solve for x
    x = 6,531,338.94/1,168.31
  6. Step 6: Final answer
    x = 5,590.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.