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Finding the Third Proportional to 9,395 and 13,135

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Solution

The third proportional to 9,395 and 13,135 is: 18,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395 : 13,135 = 13,135 : x
  2. Step 2: Convert to fraction form
    9,395/13,135 = 13,135/x
  3. Step 3: Cross multiply
    9,395x = 13,135 × 13,135
  4. Step 4: Simplify right side
    9,395x = 172,528,225
  5. Step 5: Solve for x
    x = 172,528,225/9,395
  6. Step 6: Final answer
    x = 18,363.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.