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Finding the Third Proportional to 11,960.16 and 17,120.11

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Solution

The third proportional to 11,960.16 and 17,120.11 is: 24,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.16 : 17,120.11 = 17,120.11 : x
  2. Step 2: Convert to fraction form
    11,960.16/17,120.11 = 17,120.11/x
  3. Step 3: Cross multiply
    11,960.16x = 17,120.11 × 17,120.11
  4. Step 4: Simplify right side
    11,960.16x = 293,098,145.01
  5. Step 5: Solve for x
    x = 293,098,145.01/11,960.16
  6. Step 6: Final answer
    x = 24,506.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.