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Finding the Third Proportional to 38,184 and 82,720

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Solution

The third proportional to 38,184 and 82,720 is: 179,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184 : 82,720 = 82,720 : x
  2. Step 2: Convert to fraction form
    38,184/82,720 = 82,720/x
  3. Step 3: Cross multiply
    38,184x = 82,720 × 82,720
  4. Step 4: Simplify right side
    38,184x = 6,842,598,400
  5. Step 5: Solve for x
    x = 6,842,598,400/38,184
  6. Step 6: Final answer
    x = 179,200.67

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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.