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Finding the Third Proportional to 14,164 and 17,324

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Solution

The third proportional to 14,164 and 17,324 is: 21,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164 : 17,324 = 17,324 : x
  2. Step 2: Convert to fraction form
    14,164/17,324 = 17,324/x
  3. Step 3: Cross multiply
    14,164x = 17,324 × 17,324
  4. Step 4: Simplify right side
    14,164x = 300,120,976
  5. Step 5: Solve for x
    x = 300,120,976/14,164
  6. Step 6: Final answer
    x = 21,189.00

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.