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Finding the Third Proportional to 39,824 and 86,224

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Solution

The third proportional to 39,824 and 86,224 is: 186,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,824 : 86,224 = 86,224 : x
  2. Step 2: Convert to fraction form
    39,824/86,224 = 86,224/x
  3. Step 3: Cross multiply
    39,824x = 86,224 × 86,224
  4. Step 4: Simplify right side
    39,824x = 7,434,578,176
  5. Step 5: Solve for x
    x = 7,434,578,176/39,824
  6. Step 6: Final answer
    x = 186,685.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.