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Finding the Third Proportional to 2,631.23 and 4,100.63

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Solution

The third proportional to 2,631.23 and 4,100.63 is: 6,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.23 : 4,100.63 = 4,100.63 : x
  2. Step 2: Convert to fraction form
    2,631.23/4,100.63 = 4,100.63/x
  3. Step 3: Cross multiply
    2,631.23x = 4,100.63 × 4,100.63
  4. Step 4: Simplify right side
    2,631.23x = 16,815,125.39
  5. Step 5: Solve for x
    x = 16,815,125.39/2,631.23
  6. Step 6: Final answer
    x = 6,390.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.