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Finding the Third Proportional to 8,416.13 and 17,704.13

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Solution

The third proportional to 8,416.13 and 17,704.13 is: 37,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.13 : 17,704.13 = 17,704.13 : x
  2. Step 2: Convert to fraction form
    8,416.13/17,704.13 = 17,704.13/x
  3. Step 3: Cross multiply
    8,416.13x = 17,704.13 × 17,704.13
  4. Step 4: Simplify right side
    8,416.13x = 313,436,042.02
  5. Step 5: Solve for x
    x = 313,436,042.02/8,416.13
  6. Step 6: Final answer
    x = 37,242.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.