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Finding the Third Proportional to 11,364 and 16,310

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Solution

The third proportional to 11,364 and 16,310 is: 23,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364 : 16,310 = 16,310 : x
  2. Step 2: Convert to fraction form
    11,364/16,310 = 16,310/x
  3. Step 3: Cross multiply
    11,364x = 16,310 × 16,310
  4. Step 4: Simplify right side
    11,364x = 266,016,100
  5. Step 5: Solve for x
    x = 266,016,100/11,364
  6. Step 6: Final answer
    x = 23,408.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.