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Finding the Third Proportional to 13,284 and 17,270

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Solution

The third proportional to 13,284 and 17,270 is: 22,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 17,270 = 17,270 : x
  2. Step 2: Convert to fraction form
    13,284/17,270 = 17,270/x
  3. Step 3: Cross multiply
    13,284x = 17,270 × 17,270
  4. Step 4: Simplify right side
    13,284x = 298,252,900
  5. Step 5: Solve for x
    x = 298,252,900/13,284
  6. Step 6: Final answer
    x = 22,452.04

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.