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Finding the Third Proportional to 13,004 and 29,936

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Solution

The third proportional to 13,004 and 29,936 is: 68,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004 : 29,936 = 29,936 : x
  2. Step 2: Convert to fraction form
    13,004/29,936 = 29,936/x
  3. Step 3: Cross multiply
    13,004x = 29,936 × 29,936
  4. Step 4: Simplify right side
    13,004x = 896,164,096
  5. Step 5: Solve for x
    x = 896,164,096/13,004
  6. Step 6: Final answer
    x = 68,914.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.