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Finding the Third Proportional to 10,108 and 13,410

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Solution

The third proportional to 10,108 and 13,410 is: 17,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108 : 13,410 = 13,410 : x
  2. Step 2: Convert to fraction form
    10,108/13,410 = 13,410/x
  3. Step 3: Cross multiply
    10,108x = 13,410 × 13,410
  4. Step 4: Simplify right side
    10,108x = 179,828,100
  5. Step 5: Solve for x
    x = 179,828,100/10,108
  6. Step 6: Final answer
    x = 17,790.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.