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Finding the Third Proportional to 7,289 and 17,546

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Solution

The third proportional to 7,289 and 17,546 is: 42,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289 : 17,546 = 17,546 : x
  2. Step 2: Convert to fraction form
    7,289/17,546 = 17,546/x
  3. Step 3: Cross multiply
    7,289x = 17,546 × 17,546
  4. Step 4: Simplify right side
    7,289x = 307,862,116
  5. Step 5: Solve for x
    x = 307,862,116/7,289
  6. Step 6: Final answer
    x = 42,236.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.