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Finding the Third Proportional to 13,112 and 17,020

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Solution

The third proportional to 13,112 and 17,020 is: 22,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112 : 17,020 = 17,020 : x
  2. Step 2: Convert to fraction form
    13,112/17,020 = 17,020/x
  3. Step 3: Cross multiply
    13,112x = 17,020 × 17,020
  4. Step 4: Simplify right side
    13,112x = 289,680,400
  5. Step 5: Solve for x
    x = 289,680,400/13,112
  6. Step 6: Final answer
    x = 22,092.77

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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.