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Finding the Third Proportional to 10,471.08 and 21,245.91

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Solution

The third proportional to 10,471.08 and 21,245.91 is: 43,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.08 : 21,245.91 = 21,245.91 : x
  2. Step 2: Convert to fraction form
    10,471.08/21,245.91 = 21,245.91/x
  3. Step 3: Cross multiply
    10,471.08x = 21,245.91 × 21,245.91
  4. Step 4: Simplify right side
    10,471.08x = 451,388,532.38
  5. Step 5: Solve for x
    x = 451,388,532.38/10,471.08
  6. Step 6: Final answer
    x = 43,108.12

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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.