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Finding the Third Proportional to 38,096 and 59,219

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Solution

The third proportional to 38,096 and 59,219 is: 92,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096 : 59,219 = 59,219 : x
  2. Step 2: Convert to fraction form
    38,096/59,219 = 59,219/x
  3. Step 3: Cross multiply
    38,096x = 59,219 × 59,219
  4. Step 4: Simplify right side
    38,096x = 3,506,889,961
  5. Step 5: Solve for x
    x = 3,506,889,961/38,096
  6. Step 6: Final answer
    x = 92,054.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.