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Finding the Third Proportional to 5,877 and 9,096

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Solution

The third proportional to 5,877 and 9,096 is: 14,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877 : 9,096 = 9,096 : x
  2. Step 2: Convert to fraction form
    5,877/9,096 = 9,096/x
  3. Step 3: Cross multiply
    5,877x = 9,096 × 9,096
  4. Step 4: Simplify right side
    5,877x = 82,737,216
  5. Step 5: Solve for x
    x = 82,737,216/5,877
  6. Step 6: Final answer
    x = 14,078.14

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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.