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Finding the Third Proportional to 8,704.13 and 18,959.63

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Solution

The third proportional to 8,704.13 and 18,959.63 is: 41,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.13 : 18,959.63 = 18,959.63 : x
  2. Step 2: Convert to fraction form
    8,704.13/18,959.63 = 18,959.63/x
  3. Step 3: Cross multiply
    8,704.13x = 18,959.63 × 18,959.63
  4. Step 4: Simplify right side
    8,704.13x = 359,467,380.14
  5. Step 5: Solve for x
    x = 359,467,380.14/8,704.13
  6. Step 6: Final answer
    x = 41,298.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.