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Finding the Third Proportional to 27,747 and 35,937

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Solution

The third proportional to 27,747 and 35,937 is: 46,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 35,937 = 35,937 : x
  2. Step 2: Convert to fraction form
    27,747/35,937 = 35,937/x
  3. Step 3: Cross multiply
    27,747x = 35,937 × 35,937
  4. Step 4: Simplify right side
    27,747x = 1,291,467,969
  5. Step 5: Solve for x
    x = 1,291,467,969/27,747
  6. Step 6: Final answer
    x = 46,544.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.