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Finding the Third Proportional to 17,824 and 38,120

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Solution

The third proportional to 17,824 and 38,120 is: 81,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824 : 38,120 = 38,120 : x
  2. Step 2: Convert to fraction form
    17,824/38,120 = 38,120/x
  3. Step 3: Cross multiply
    17,824x = 38,120 × 38,120
  4. Step 4: Simplify right side
    17,824x = 1,453,134,400
  5. Step 5: Solve for x
    x = 1,453,134,400/17,824
  6. Step 6: Final answer
    x = 81,526.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.