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Finding the Third Proportional to 38,462 and 83,485

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Solution

The third proportional to 38,462 and 83,485 is: 181,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462 : 83,485 = 83,485 : x
  2. Step 2: Convert to fraction form
    38,462/83,485 = 83,485/x
  3. Step 3: Cross multiply
    38,462x = 83,485 × 83,485
  4. Step 4: Simplify right side
    38,462x = 6,969,745,225
  5. Step 5: Solve for x
    x = 6,969,745,225/38,462
  6. Step 6: Final answer
    x = 181,211.20

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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.