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Finding the Third Proportional to 17,458.88 and 26,198.44

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Solution

The third proportional to 17,458.88 and 26,198.44 is: 39,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.88 : 26,198.44 = 26,198.44 : x
  2. Step 2: Convert to fraction form
    17,458.88/26,198.44 = 26,198.44/x
  3. Step 3: Cross multiply
    17,458.88x = 26,198.44 × 26,198.44
  4. Step 4: Simplify right side
    17,458.88x = 686,358,127.44
  5. Step 5: Solve for x
    x = 686,358,127.44/17,458.88
  6. Step 6: Final answer
    x = 39,312.85

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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.