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Finding the Third Proportional to 17,576 and 26,886

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Solution

The third proportional to 17,576 and 26,886 is: 41,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576 : 26,886 = 26,886 : x
  2. Step 2: Convert to fraction form
    17,576/26,886 = 26,886/x
  3. Step 3: Cross multiply
    17,576x = 26,886 × 26,886
  4. Step 4: Simplify right side
    17,576x = 722,856,996
  5. Step 5: Solve for x
    x = 722,856,996/17,576
  6. Step 6: Final answer
    x = 41,127.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.