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Finding the Third Proportional to 31,779 and 47,655

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Solution

The third proportional to 31,779 and 47,655 is: 71,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779 : 47,655 = 47,655 : x
  2. Step 2: Convert to fraction form
    31,779/47,655 = 47,655/x
  3. Step 3: Cross multiply
    31,779x = 47,655 × 47,655
  4. Step 4: Simplify right side
    31,779x = 2,270,999,025
  5. Step 5: Solve for x
    x = 2,270,999,025/31,779
  6. Step 6: Final answer
    x = 71,462.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.