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Finding the Third Proportional to 17,245.41 and 41,678.30

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Solution

The third proportional to 17,245.41 and 41,678.30 is: 100,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,245.41 : 41,678.30 = 41,678.30 : x
  2. Step 2: Convert to fraction form
    17,245.41/41,678.30 = 41,678.30/x
  3. Step 3: Cross multiply
    17,245.41x = 41,678.30 × 41,678.30
  4. Step 4: Simplify right side
    17,245.41x = 1,737,080,430.40
  5. Step 5: Solve for x
    x = 1,737,080,430.40/17,245.41
  6. Step 6: Final answer
    x = 100,727.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.