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Finding the Third Proportional to 19,031.63 and 43,863.19

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Solution

The third proportional to 19,031.63 and 43,863.19 is: 101,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031.63 : 43,863.19 = 43,863.19 : x
  2. Step 2: Convert to fraction form
    19,031.63/43,863.19 = 43,863.19/x
  3. Step 3: Cross multiply
    19,031.63x = 43,863.19 × 43,863.19
  4. Step 4: Simplify right side
    19,031.63x = 1,923,979,217.66
  5. Step 5: Solve for x
    x = 1,923,979,217.66/19,031.63
  6. Step 6: Final answer
    x = 101,093.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.