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Finding the Third Proportional to 10,145 and 15,177

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Solution

The third proportional to 10,145 and 15,177 is: 22,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145 : 15,177 = 15,177 : x
  2. Step 2: Convert to fraction form
    10,145/15,177 = 15,177/x
  3. Step 3: Cross multiply
    10,145x = 15,177 × 15,177
  4. Step 4: Simplify right side
    10,145x = 230,341,329
  5. Step 5: Solve for x
    x = 230,341,329/10,145
  6. Step 6: Final answer
    x = 22,704.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.