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Finding the Third Proportional to 1,842.75 and 4,584.09

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Solution

The third proportional to 1,842.75 and 4,584.09 is: 11,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.75 : 4,584.09 = 4,584.09 : x
  2. Step 2: Convert to fraction form
    1,842.75/4,584.09 = 4,584.09/x
  3. Step 3: Cross multiply
    1,842.75x = 4,584.09 × 4,584.09
  4. Step 4: Simplify right side
    1,842.75x = 21,013,915.51
  5. Step 5: Solve for x
    x = 21,013,915.51/1,842.75
  6. Step 6: Final answer
    x = 11,403.56

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.