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Finding the Third Proportional to 5,895 and 9,147

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Solution

The third proportional to 5,895 and 9,147 is: 14,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895 : 9,147 = 9,147 : x
  2. Step 2: Convert to fraction form
    5,895/9,147 = 9,147/x
  3. Step 3: Cross multiply
    5,895x = 9,147 × 9,147
  4. Step 4: Simplify right side
    5,895x = 83,667,609
  5. Step 5: Solve for x
    x = 83,667,609/5,895
  6. Step 6: Final answer
    x = 14,192.98

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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.