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Finding the Third Proportional to 8,076 and 17,475

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Solution

The third proportional to 8,076 and 17,475 is: 37,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076 : 17,475 = 17,475 : x
  2. Step 2: Convert to fraction form
    8,076/17,475 = 17,475/x
  3. Step 3: Cross multiply
    8,076x = 17,475 × 17,475
  4. Step 4: Simplify right side
    8,076x = 305,375,625
  5. Step 5: Solve for x
    x = 305,375,625/8,076
  6. Step 6: Final answer
    x = 37,812.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.