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Finding the Third Proportional to 8,078 and 17,433

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Solution

The third proportional to 8,078 and 17,433 is: 37,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078 : 17,433 = 17,433 : x
  2. Step 2: Convert to fraction form
    8,078/17,433 = 17,433/x
  3. Step 3: Cross multiply
    8,078x = 17,433 × 17,433
  4. Step 4: Simplify right side
    8,078x = 303,909,489
  5. Step 5: Solve for x
    x = 303,909,489/8,078
  6. Step 6: Final answer
    x = 37,621.87

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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.