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Finding the Third Proportional to 17,148.94 and 41,307.39

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Solution

The third proportional to 17,148.94 and 41,307.39 is: 99,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148.94 : 41,307.39 = 41,307.39 : x
  2. Step 2: Convert to fraction form
    17,148.94/41,307.39 = 41,307.39/x
  3. Step 3: Cross multiply
    17,148.94x = 41,307.39 × 41,307.39
  4. Step 4: Simplify right side
    17,148.94x = 1,706,300,439.57
  5. Step 5: Solve for x
    x = 1,706,300,439.57/17,148.94
  6. Step 6: Final answer
    x = 99,498.88

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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.