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Finding the Third Proportional to 4,171.10 and 8,457.54

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Solution

The third proportional to 4,171.10 and 8,457.54 is: 17,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.10 : 8,457.54 = 8,457.54 : x
  2. Step 2: Convert to fraction form
    4,171.10/8,457.54 = 8,457.54/x
  3. Step 3: Cross multiply
    4,171.10x = 8,457.54 × 8,457.54
  4. Step 4: Simplify right side
    4,171.10x = 71,529,966.99
  5. Step 5: Solve for x
    x = 71,529,966.99/4,171.10
  6. Step 6: Final answer
    x = 17,148.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.