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Finding the Third Proportional to 17,285 and 40,475

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Solution

The third proportional to 17,285 and 40,475 is: 94,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,285 : 40,475 = 40,475 : x
  2. Step 2: Convert to fraction form
    17,285/40,475 = 40,475/x
  3. Step 3: Cross multiply
    17,285x = 40,475 × 40,475
  4. Step 4: Simplify right side
    17,285x = 1,638,225,625
  5. Step 5: Solve for x
    x = 1,638,225,625/17,285
  6. Step 6: Final answer
    x = 94,777.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.