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Finding the Third Proportional to 38,299 and 81,014

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Solution

The third proportional to 38,299 and 81,014 is: 171,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,299 : 81,014 = 81,014 : x
  2. Step 2: Convert to fraction form
    38,299/81,014 = 81,014/x
  3. Step 3: Cross multiply
    38,299x = 81,014 × 81,014
  4. Step 4: Simplify right side
    38,299x = 6,563,268,196
  5. Step 5: Solve for x
    x = 6,563,268,196/38,299
  6. Step 6: Final answer
    x = 171,369.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.