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Finding the Third Proportional to 39,533 and 86,842

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Solution

The third proportional to 39,533 and 86,842 is: 190,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533 : 86,842 = 86,842 : x
  2. Step 2: Convert to fraction form
    39,533/86,842 = 86,842/x
  3. Step 3: Cross multiply
    39,533x = 86,842 × 86,842
  4. Step 4: Simplify right side
    39,533x = 7,541,532,964
  5. Step 5: Solve for x
    x = 7,541,532,964/39,533
  6. Step 6: Final answer
    x = 190,765.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.