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Finding the Third Proportional to 39,996 and 60,297

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Solution

The third proportional to 39,996 and 60,297 is: 90,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,996 : 60,297 = 60,297 : x
  2. Step 2: Convert to fraction form
    39,996/60,297 = 60,297/x
  3. Step 3: Cross multiply
    39,996x = 60,297 × 60,297
  4. Step 4: Simplify right side
    39,996x = 3,635,728,209
  5. Step 5: Solve for x
    x = 3,635,728,209/39,996
  6. Step 6: Final answer
    x = 90,902.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.