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Finding the Third Proportional to 17,514 and 20,232

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Solution

The third proportional to 17,514 and 20,232 is: 23,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514 : 20,232 = 20,232 : x
  2. Step 2: Convert to fraction form
    17,514/20,232 = 20,232/x
  3. Step 3: Cross multiply
    17,514x = 20,232 × 20,232
  4. Step 4: Simplify right side
    17,514x = 409,333,824
  5. Step 5: Solve for x
    x = 409,333,824/17,514
  6. Step 6: Final answer
    x = 23,371.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.