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Finding the Third Proportional to 27,678 and 39,546

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Solution

The third proportional to 27,678 and 39,546 is: 56,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678 : 39,546 = 39,546 : x
  2. Step 2: Convert to fraction form
    27,678/39,546 = 39,546/x
  3. Step 3: Cross multiply
    27,678x = 39,546 × 39,546
  4. Step 4: Simplify right side
    27,678x = 1,563,886,116
  5. Step 5: Solve for x
    x = 1,563,886,116/27,678
  6. Step 6: Final answer
    x = 56,502.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.