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Finding the Third Proportional to 10,090 and 16,675

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Solution

The third proportional to 10,090 and 16,675 is: 27,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 16,675 = 16,675 : x
  2. Step 2: Convert to fraction form
    10,090/16,675 = 16,675/x
  3. Step 3: Cross multiply
    10,090x = 16,675 × 16,675
  4. Step 4: Simplify right side
    10,090x = 278,055,625
  5. Step 5: Solve for x
    x = 278,055,625/10,090
  6. Step 6: Final answer
    x = 27,557.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.