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Finding the Third Proportional to 10,829 and 23,683

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Solution

The third proportional to 10,829 and 23,683 is: 51,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829 : 23,683 = 23,683 : x
  2. Step 2: Convert to fraction form
    10,829/23,683 = 23,683/x
  3. Step 3: Cross multiply
    10,829x = 23,683 × 23,683
  4. Step 4: Simplify right side
    10,829x = 560,884,489
  5. Step 5: Solve for x
    x = 560,884,489/10,829
  6. Step 6: Final answer
    x = 51,794.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.