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Finding the Third Proportional to 11,701.97 and 17,366.91

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Solution

The third proportional to 11,701.97 and 17,366.91 is: 25,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 17,366.91 = 17,366.91 : x
  2. Step 2: Convert to fraction form
    11,701.97/17,366.91 = 17,366.91/x
  3. Step 3: Cross multiply
    11,701.97x = 17,366.91 × 17,366.91
  4. Step 4: Simplify right side
    11,701.97x = 301,609,432.70
  5. Step 5: Solve for x
    x = 301,609,432.70/11,701.97
  6. Step 6: Final answer
    x = 25,774.25

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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.