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Finding the Third Proportional to 17,320 and 25,331

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Solution

The third proportional to 17,320 and 25,331 is: 37,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320 : 25,331 = 25,331 : x
  2. Step 2: Convert to fraction form
    17,320/25,331 = 25,331/x
  3. Step 3: Cross multiply
    17,320x = 25,331 × 25,331
  4. Step 4: Simplify right side
    17,320x = 641,659,561
  5. Step 5: Solve for x
    x = 641,659,561/17,320
  6. Step 6: Final answer
    x = 37,047.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.