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Finding the Third Proportional to 38,678 and 60,297

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Solution

The third proportional to 38,678 and 60,297 is: 93,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678 : 60,297 = 60,297 : x
  2. Step 2: Convert to fraction form
    38,678/60,297 = 60,297/x
  3. Step 3: Cross multiply
    38,678x = 60,297 × 60,297
  4. Step 4: Simplify right side
    38,678x = 3,635,728,209
  5. Step 5: Solve for x
    x = 3,635,728,209/38,678
  6. Step 6: Final answer
    x = 93,999.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.