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Finding the Third Proportional to 17,202.75 and 27,369

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Solution

The third proportional to 17,202.75 and 27,369 is: 43,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.75 : 27,369 = 27,369 : x
  2. Step 2: Convert to fraction form
    17,202.75/27,369 = 27,369/x
  3. Step 3: Cross multiply
    17,202.75x = 27,369 × 27,369
  4. Step 4: Simplify right side
    17,202.75x = 749,062,161
  5. Step 5: Solve for x
    x = 749,062,161/17,202.75
  6. Step 6: Final answer
    x = 43,543.16

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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.