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Finding the Third Proportional to 38,238 and 82,335

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Solution

The third proportional to 38,238 and 82,335 is: 177,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238 : 82,335 = 82,335 : x
  2. Step 2: Convert to fraction form
    38,238/82,335 = 82,335/x
  3. Step 3: Cross multiply
    38,238x = 82,335 × 82,335
  4. Step 4: Simplify right side
    38,238x = 6,779,052,225
  5. Step 5: Solve for x
    x = 6,779,052,225/38,238
  6. Step 6: Final answer
    x = 177,285.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.