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Finding the Third Proportional to 39,848 and 54,148

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Solution

The third proportional to 39,848 and 54,148 is: 73,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,848 : 54,148 = 54,148 : x
  2. Step 2: Convert to fraction form
    39,848/54,148 = 54,148/x
  3. Step 3: Cross multiply
    39,848x = 54,148 × 54,148
  4. Step 4: Simplify right side
    39,848x = 2,932,005,904
  5. Step 5: Solve for x
    x = 2,932,005,904/39,848
  6. Step 6: Final answer
    x = 73,579.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.