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Finding the Third Proportional to 10,126 and 11,206

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Solution

The third proportional to 10,126 and 11,206 is: 12,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 11,206 = 11,206 : x
  2. Step 2: Convert to fraction form
    10,126/11,206 = 11,206/x
  3. Step 3: Cross multiply
    10,126x = 11,206 × 11,206
  4. Step 4: Simplify right side
    10,126x = 125,574,436
  5. Step 5: Solve for x
    x = 125,574,436/10,126
  6. Step 6: Final answer
    x = 12,401.19

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.