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Finding the Third Proportional to 11,701.97 and 16,954.95

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Solution

The third proportional to 11,701.97 and 16,954.95 is: 24,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 16,954.95 = 16,954.95 : x
  2. Step 2: Convert to fraction form
    11,701.97/16,954.95 = 16,954.95/x
  3. Step 3: Cross multiply
    11,701.97x = 16,954.95 × 16,954.95
  4. Step 4: Simplify right side
    11,701.97x = 287,470,170.55
  5. Step 5: Solve for x
    x = 287,470,170.55/11,701.97
  6. Step 6: Final answer
    x = 24,565.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.