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Finding the Third Proportional to 13,219 and 17,623

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Solution

The third proportional to 13,219 and 17,623 is: 23,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219 : 17,623 = 17,623 : x
  2. Step 2: Convert to fraction form
    13,219/17,623 = 17,623/x
  3. Step 3: Cross multiply
    13,219x = 17,623 × 17,623
  4. Step 4: Simplify right side
    13,219x = 310,570,129
  5. Step 5: Solve for x
    x = 310,570,129/13,219
  6. Step 6: Final answer
    x = 23,494.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.