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Finding the Third Proportional to 4,751.16 and 6,305.34

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Solution

The third proportional to 4,751.16 and 6,305.34 is: 8,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.16 : 6,305.34 = 6,305.34 : x
  2. Step 2: Convert to fraction form
    4,751.16/6,305.34 = 6,305.34/x
  3. Step 3: Cross multiply
    4,751.16x = 6,305.34 × 6,305.34
  4. Step 4: Simplify right side
    4,751.16x = 39,757,359.81
  5. Step 5: Solve for x
    x = 39,757,359.81/4,751.16
  6. Step 6: Final answer
    x = 8,367.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.