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Finding the Third Proportional to 17,290 and 27,447

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Solution

The third proportional to 17,290 and 27,447 is: 43,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290 : 27,447 = 27,447 : x
  2. Step 2: Convert to fraction form
    17,290/27,447 = 27,447/x
  3. Step 3: Cross multiply
    17,290x = 27,447 × 27,447
  4. Step 4: Simplify right side
    17,290x = 753,337,809
  5. Step 5: Solve for x
    x = 753,337,809/17,290
  6. Step 6: Final answer
    x = 43,570.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.