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Finding the Third Proportional to 2,362.92 and 4,063.92

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Solution

The third proportional to 2,362.92 and 4,063.92 is: 6,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.92 : 4,063.92 = 4,063.92 : x
  2. Step 2: Convert to fraction form
    2,362.92/4,063.92 = 4,063.92/x
  3. Step 3: Cross multiply
    2,362.92x = 4,063.92 × 4,063.92
  4. Step 4: Simplify right side
    2,362.92x = 16,515,461.01
  5. Step 5: Solve for x
    x = 16,515,461.01/2,362.92
  6. Step 6: Final answer
    x = 6,989.42

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.