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Finding the Third Proportional to 7,737 and 15,883

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Solution

The third proportional to 7,737 and 15,883 is: 32,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 15,883 = 15,883 : x
  2. Step 2: Convert to fraction form
    7,737/15,883 = 15,883/x
  3. Step 3: Cross multiply
    7,737x = 15,883 × 15,883
  4. Step 4: Simplify right side
    7,737x = 252,269,689
  5. Step 5: Solve for x
    x = 252,269,689/7,737
  6. Step 6: Final answer
    x = 32,605.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.