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Finding the Third Proportional to 13,204 and 26,623

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Solution

The third proportional to 13,204 and 26,623 is: 53,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 26,623 = 26,623 : x
  2. Step 2: Convert to fraction form
    13,204/26,623 = 26,623/x
  3. Step 3: Cross multiply
    13,204x = 26,623 × 26,623
  4. Step 4: Simplify right side
    13,204x = 708,784,129
  5. Step 5: Solve for x
    x = 708,784,129/13,204
  6. Step 6: Final answer
    x = 53,679.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.