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Finding the Third Proportional to 2,031.96 and 4,701.80

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Solution

The third proportional to 2,031.96 and 4,701.80 is: 10,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.96 : 4,701.80 = 4,701.80 : x
  2. Step 2: Convert to fraction form
    2,031.96/4,701.80 = 4,701.80/x
  3. Step 3: Cross multiply
    2,031.96x = 4,701.80 × 4,701.80
  4. Step 4: Simplify right side
    2,031.96x = 22,106,893.85
  5. Step 5: Solve for x
    x = 22,106,893.85/2,031.96
  6. Step 6: Final answer
    x = 10,879.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.