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Finding the Third Proportional to 21,876 and 47,706

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Solution

The third proportional to 21,876 and 47,706 is: 104,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876 : 47,706 = 47,706 : x
  2. Step 2: Convert to fraction form
    21,876/47,706 = 47,706/x
  3. Step 3: Cross multiply
    21,876x = 47,706 × 47,706
  4. Step 4: Simplify right side
    21,876x = 2,275,862,436
  5. Step 5: Solve for x
    x = 2,275,862,436/21,876
  6. Step 6: Final answer
    x = 104,034.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.