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Finding the Third Proportional to 1,859.96 and 4,004.65

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Solution

The third proportional to 1,859.96 and 4,004.65 is: 8,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.96 : 4,004.65 = 4,004.65 : x
  2. Step 2: Convert to fraction form
    1,859.96/4,004.65 = 4,004.65/x
  3. Step 3: Cross multiply
    1,859.96x = 4,004.65 × 4,004.65
  4. Step 4: Simplify right side
    1,859.96x = 16,037,222.31
  5. Step 5: Solve for x
    x = 16,037,222.31/1,859.96
  6. Step 6: Final answer
    x = 8,622.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.