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Finding the Third Proportional to 11,854 and 25,530

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Solution

The third proportional to 11,854 and 25,530 is: 54,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854 : 25,530 = 25,530 : x
  2. Step 2: Convert to fraction form
    11,854/25,530 = 25,530/x
  3. Step 3: Cross multiply
    11,854x = 25,530 × 25,530
  4. Step 4: Simplify right side
    11,854x = 651,780,900
  5. Step 5: Solve for x
    x = 651,780,900/11,854
  6. Step 6: Final answer
    x = 54,984.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.