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Finding the Third Proportional to 11,168 and 17,604

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Solution

The third proportional to 11,168 and 17,604 is: 27,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168 : 17,604 = 17,604 : x
  2. Step 2: Convert to fraction form
    11,168/17,604 = 17,604/x
  3. Step 3: Cross multiply
    11,168x = 17,604 × 17,604
  4. Step 4: Simplify right side
    11,168x = 309,900,816
  5. Step 5: Solve for x
    x = 309,900,816/11,168
  6. Step 6: Final answer
    x = 27,749.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.