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Finding the Third Proportional to 13,204 and 29,360

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Solution

The third proportional to 13,204 and 29,360 is: 65,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 29,360 = 29,360 : x
  2. Step 2: Convert to fraction form
    13,204/29,360 = 29,360/x
  3. Step 3: Cross multiply
    13,204x = 29,360 × 29,360
  4. Step 4: Simplify right side
    13,204x = 862,009,600
  5. Step 5: Solve for x
    x = 862,009,600/13,204
  6. Step 6: Final answer
    x = 65,283.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.