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Finding the Third Proportional to 38,262 and 63,229

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Solution

The third proportional to 38,262 and 63,229 is: 104,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262 : 63,229 = 63,229 : x
  2. Step 2: Convert to fraction form
    38,262/63,229 = 63,229/x
  3. Step 3: Cross multiply
    38,262x = 63,229 × 63,229
  4. Step 4: Simplify right side
    38,262x = 3,997,906,441
  5. Step 5: Solve for x
    x = 3,997,906,441/38,262
  6. Step 6: Final answer
    x = 104,487.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.