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Finding the Third Proportional to 17,511 and 26,204.63

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Solution

The third proportional to 17,511 and 26,204.63 is: 39,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511 : 26,204.63 = 26,204.63 : x
  2. Step 2: Convert to fraction form
    17,511/26,204.63 = 26,204.63/x
  3. Step 3: Cross multiply
    17,511x = 26,204.63 × 26,204.63
  4. Step 4: Simplify right side
    17,511x = 686,682,371.39
  5. Step 5: Solve for x
    x = 686,682,371.39/17,511
  6. Step 6: Final answer
    x = 39,214.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.