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Finding the Third Proportional to 10,779 and 25,530

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Solution

The third proportional to 10,779 and 25,530 is: 60,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779 : 25,530 = 25,530 : x
  2. Step 2: Convert to fraction form
    10,779/25,530 = 25,530/x
  3. Step 3: Cross multiply
    10,779x = 25,530 × 25,530
  4. Step 4: Simplify right side
    10,779x = 651,780,900
  5. Step 5: Solve for x
    x = 651,780,900/10,779
  6. Step 6: Final answer
    x = 60,467.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.