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Finding the Third Proportional to 11,899.41 and 25,325.16

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Solution

The third proportional to 11,899.41 and 25,325.16 is: 53,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.41 : 25,325.16 = 25,325.16 : x
  2. Step 2: Convert to fraction form
    11,899.41/25,325.16 = 25,325.16/x
  3. Step 3: Cross multiply
    11,899.41x = 25,325.16 × 25,325.16
  4. Step 4: Simplify right side
    11,899.41x = 641,363,539.09
  5. Step 5: Solve for x
    x = 641,363,539.09/11,899.41
  6. Step 6: Final answer
    x = 53,898.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.