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Finding the Third Proportional to 39,858 and 83,848

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Solution

The third proportional to 39,858 and 83,848 is: 176,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 83,848 = 83,848 : x
  2. Step 2: Convert to fraction form
    39,858/83,848 = 83,848/x
  3. Step 3: Cross multiply
    39,858x = 83,848 × 83,848
  4. Step 4: Simplify right side
    39,858x = 7,030,487,104
  5. Step 5: Solve for x
    x = 7,030,487,104/39,858
  6. Step 6: Final answer
    x = 176,388.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.