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Finding the Third Proportional to 11,542 and 17,106

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Solution

The third proportional to 11,542 and 17,106 is: 25,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542 : 17,106 = 17,106 : x
  2. Step 2: Convert to fraction form
    11,542/17,106 = 17,106/x
  3. Step 3: Cross multiply
    11,542x = 17,106 × 17,106
  4. Step 4: Simplify right side
    11,542x = 292,615,236
  5. Step 5: Solve for x
    x = 292,615,236/11,542
  6. Step 6: Final answer
    x = 25,352.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.