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Finding the Third Proportional to 11,861.91 and 25,057.24

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Solution

The third proportional to 11,861.91 and 25,057.24 is: 52,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.91 : 25,057.24 = 25,057.24 : x
  2. Step 2: Convert to fraction form
    11,861.91/25,057.24 = 25,057.24/x
  3. Step 3: Cross multiply
    11,861.91x = 25,057.24 × 25,057.24
  4. Step 4: Simplify right side
    11,861.91x = 627,865,239.22
  5. Step 5: Solve for x
    x = 627,865,239.22/11,861.91
  6. Step 6: Final answer
    x = 52,931.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.