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Finding the Third Proportional to 11,490.75 and 17,019

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Solution

The third proportional to 11,490.75 and 17,019 is: 25,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.75 : 17,019 = 17,019 : x
  2. Step 2: Convert to fraction form
    11,490.75/17,019 = 17,019/x
  3. Step 3: Cross multiply
    11,490.75x = 17,019 × 17,019
  4. Step 4: Simplify right side
    11,490.75x = 289,646,361
  5. Step 5: Solve for x
    x = 289,646,361/11,490.75
  6. Step 6: Final answer
    x = 25,206.92

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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.