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Finding the Third Proportional to 11,479.50 and 17,004

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Solution

The third proportional to 11,479.50 and 17,004 is: 25,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.50 : 17,004 = 17,004 : x
  2. Step 2: Convert to fraction form
    11,479.50/17,004 = 17,004/x
  3. Step 3: Cross multiply
    11,479.50x = 17,004 × 17,004
  4. Step 4: Simplify right side
    11,479.50x = 289,136,016
  5. Step 5: Solve for x
    x = 289,136,016/11,479.50
  6. Step 6: Final answer
    x = 25,187.16

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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.