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Finding the Third Proportional to 13,214.25 and 17,616.38

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Solution

The third proportional to 13,214.25 and 17,616.38 is: 23,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.25 : 17,616.38 = 17,616.38 : x
  2. Step 2: Convert to fraction form
    13,214.25/17,616.38 = 17,616.38/x
  3. Step 3: Cross multiply
    13,214.25x = 17,616.38 × 17,616.38
  4. Step 4: Simplify right side
    13,214.25x = 310,336,668.14
  5. Step 5: Solve for x
    x = 310,336,668.14/13,214.25
  6. Step 6: Final answer
    x = 23,485.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.