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Finding the Third Proportional to 1,245.75 and 2,653.75

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Solution

The third proportional to 1,245.75 and 2,653.75 is: 5,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.75 : 2,653.75 = 2,653.75 : x
  2. Step 2: Convert to fraction form
    1,245.75/2,653.75 = 2,653.75/x
  3. Step 3: Cross multiply
    1,245.75x = 2,653.75 × 2,653.75
  4. Step 4: Simplify right side
    1,245.75x = 7,042,389.06
  5. Step 5: Solve for x
    x = 7,042,389.06/1,245.75
  6. Step 6: Final answer
    x = 5,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.