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Finding the Third Proportional to 39,858 and 84,576

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Solution

The third proportional to 39,858 and 84,576 is: 179,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 84,576 = 84,576 : x
  2. Step 2: Convert to fraction form
    39,858/84,576 = 84,576/x
  3. Step 3: Cross multiply
    39,858x = 84,576 × 84,576
  4. Step 4: Simplify right side
    39,858x = 7,153,099,776
  5. Step 5: Solve for x
    x = 7,153,099,776/39,858
  6. Step 6: Final answer
    x = 179,464.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.