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Finding the Third Proportional to 13,226 and 21,265

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Solution

The third proportional to 13,226 and 21,265 is: 34,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226 : 21,265 = 21,265 : x
  2. Step 2: Convert to fraction form
    13,226/21,265 = 21,265/x
  3. Step 3: Cross multiply
    13,226x = 21,265 × 21,265
  4. Step 4: Simplify right side
    13,226x = 452,200,225
  5. Step 5: Solve for x
    x = 452,200,225/13,226
  6. Step 6: Final answer
    x = 34,190.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.