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Finding the Third Proportional to 7,119 and 15,165

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Solution

The third proportional to 7,119 and 15,165 is: 32,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119 : 15,165 = 15,165 : x
  2. Step 2: Convert to fraction form
    7,119/15,165 = 15,165/x
  3. Step 3: Cross multiply
    7,119x = 15,165 × 15,165
  4. Step 4: Simplify right side
    7,119x = 229,977,225
  5. Step 5: Solve for x
    x = 229,977,225/7,119
  6. Step 6: Final answer
    x = 32,304.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.