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Finding the Third Proportional to 10,963 and 23,677

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Solution

The third proportional to 10,963 and 23,677 is: 51,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963 : 23,677 = 23,677 : x
  2. Step 2: Convert to fraction form
    10,963/23,677 = 23,677/x
  3. Step 3: Cross multiply
    10,963x = 23,677 × 23,677
  4. Step 4: Simplify right side
    10,963x = 560,600,329
  5. Step 5: Solve for x
    x = 560,600,329/10,963
  6. Step 6: Final answer
    x = 51,135.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.