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Finding the Third Proportional to 27,848 and 65,673

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Solution

The third proportional to 27,848 and 65,673 is: 154,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848 : 65,673 = 65,673 : x
  2. Step 2: Convert to fraction form
    27,848/65,673 = 65,673/x
  3. Step 3: Cross multiply
    27,848x = 65,673 × 65,673
  4. Step 4: Simplify right side
    27,848x = 4,312,942,929
  5. Step 5: Solve for x
    x = 4,312,942,929/27,848
  6. Step 6: Final answer
    x = 154,874.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.