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Finding the Third Proportional to 12,176 and 26,201

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Solution

The third proportional to 12,176 and 26,201 is: 56,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176 : 26,201 = 26,201 : x
  2. Step 2: Convert to fraction form
    12,176/26,201 = 26,201/x
  3. Step 3: Cross multiply
    12,176x = 26,201 × 26,201
  4. Step 4: Simplify right side
    12,176x = 686,492,401
  5. Step 5: Solve for x
    x = 686,492,401/12,176
  6. Step 6: Final answer
    x = 56,380.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.