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Finding the Third Proportional to 17,546.63 and 27,005.06

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Solution

The third proportional to 17,546.63 and 27,005.06 is: 41,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.63 : 27,005.06 = 27,005.06 : x
  2. Step 2: Convert to fraction form
    17,546.63/27,005.06 = 27,005.06/x
  3. Step 3: Cross multiply
    17,546.63x = 27,005.06 × 27,005.06
  4. Step 4: Simplify right side
    17,546.63x = 729,273,400.63
  5. Step 5: Solve for x
    x = 729,273,400.63/17,546.63
  6. Step 6: Final answer
    x = 41,562.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.