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Finding the Third Proportional to 11,905.47 and 25,451.16

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Solution

The third proportional to 11,905.47 and 25,451.16 is: 54,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.47 : 25,451.16 = 25,451.16 : x
  2. Step 2: Convert to fraction form
    11,905.47/25,451.16 = 25,451.16/x
  3. Step 3: Cross multiply
    11,905.47x = 25,451.16 × 25,451.16
  4. Step 4: Simplify right side
    11,905.47x = 647,761,354.46
  5. Step 5: Solve for x
    x = 647,761,354.46/11,905.47
  6. Step 6: Final answer
    x = 54,408.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.