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Finding the Third Proportional to 13,192 and 17,620

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Solution

The third proportional to 13,192 and 17,620 is: 23,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192 : 17,620 = 17,620 : x
  2. Step 2: Convert to fraction form
    13,192/17,620 = 17,620/x
  3. Step 3: Cross multiply
    13,192x = 17,620 × 17,620
  4. Step 4: Simplify right side
    13,192x = 310,464,400
  5. Step 5: Solve for x
    x = 310,464,400/13,192
  6. Step 6: Final answer
    x = 23,534.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.