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Finding the Third Proportional to 17,406 and 25,480

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Solution

The third proportional to 17,406 and 25,480 is: 37,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 25,480 = 25,480 : x
  2. Step 2: Convert to fraction form
    17,406/25,480 = 25,480/x
  3. Step 3: Cross multiply
    17,406x = 25,480 × 25,480
  4. Step 4: Simplify right side
    17,406x = 649,230,400
  5. Step 5: Solve for x
    x = 649,230,400/17,406
  6. Step 6: Final answer
    x = 37,299.23

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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.