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Finding the Third Proportional to 38,272 and 56,274

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Solution

The third proportional to 38,272 and 56,274 is: 82,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272 : 56,274 = 56,274 : x
  2. Step 2: Convert to fraction form
    38,272/56,274 = 56,274/x
  3. Step 3: Cross multiply
    38,272x = 56,274 × 56,274
  4. Step 4: Simplify right side
    38,272x = 3,166,763,076
  5. Step 5: Solve for x
    x = 3,166,763,076/38,272
  6. Step 6: Final answer
    x = 82,743.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.