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Finding the Third Proportional to 5,779 and 8,617

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Solution

The third proportional to 5,779 and 8,617 is: 12,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779 : 8,617 = 8,617 : x
  2. Step 2: Convert to fraction form
    5,779/8,617 = 8,617/x
  3. Step 3: Cross multiply
    5,779x = 8,617 × 8,617
  4. Step 4: Simplify right side
    5,779x = 74,252,689
  5. Step 5: Solve for x
    x = 74,252,689/5,779
  6. Step 6: Final answer
    x = 12,848.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.