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Finding the Third Proportional to 28,779 and 44,663

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Solution

The third proportional to 28,779 and 44,663 is: 69,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,779 : 44,663 = 44,663 : x
  2. Step 2: Convert to fraction form
    28,779/44,663 = 44,663/x
  3. Step 3: Cross multiply
    28,779x = 44,663 × 44,663
  4. Step 4: Simplify right side
    28,779x = 1,994,783,569
  5. Step 5: Solve for x
    x = 1,994,783,569/28,779
  6. Step 6: Final answer
    x = 69,313.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.