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Finding the Third Proportional to 27,744 and 39,257

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Solution

The third proportional to 27,744 and 39,257 is: 55,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 39,257 = 39,257 : x
  2. Step 2: Convert to fraction form
    27,744/39,257 = 39,257/x
  3. Step 3: Cross multiply
    27,744x = 39,257 × 39,257
  4. Step 4: Simplify right side
    27,744x = 1,541,112,049
  5. Step 5: Solve for x
    x = 1,541,112,049/27,744
  6. Step 6: Final answer
    x = 55,547.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.