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Finding the Third Proportional to 17,412.47 and 24,467.06

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Solution

The third proportional to 17,412.47 and 24,467.06 is: 34,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.47 : 24,467.06 = 24,467.06 : x
  2. Step 2: Convert to fraction form
    17,412.47/24,467.06 = 24,467.06/x
  3. Step 3: Cross multiply
    17,412.47x = 24,467.06 × 24,467.06
  4. Step 4: Simplify right side
    17,412.47x = 598,637,147.38
  5. Step 5: Solve for x
    x = 598,637,147.38/17,412.47
  6. Step 6: Final answer
    x = 34,379.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.