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Finding the Third Proportional to 4,171.92 and 6,457.64

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Solution

The third proportional to 4,171.92 and 6,457.64 is: 9,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.92 : 6,457.64 = 6,457.64 : x
  2. Step 2: Convert to fraction form
    4,171.92/6,457.64 = 6,457.64/x
  3. Step 3: Cross multiply
    4,171.92x = 6,457.64 × 6,457.64
  4. Step 4: Simplify right side
    4,171.92x = 41,701,122.44
  5. Step 5: Solve for x
    x = 41,701,122.44/4,171.92
  6. Step 6: Final answer
    x = 9,995.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.