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Finding the Third Proportional to 38,084 and 85,000

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Solution

The third proportional to 38,084 and 85,000 is: 189,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084 : 85,000 = 85,000 : x
  2. Step 2: Convert to fraction form
    38,084/85,000 = 85,000/x
  3. Step 3: Cross multiply
    38,084x = 85,000 × 85,000
  4. Step 4: Simplify right side
    38,084x = 7,225,000,000
  5. Step 5: Solve for x
    x = 7,225,000,000/38,084
  6. Step 6: Final answer
    x = 189,712.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.