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Finding the Third Proportional to 21,856 and 47,411

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Solution

The third proportional to 21,856 and 47,411 is: 102,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856 : 47,411 = 47,411 : x
  2. Step 2: Convert to fraction form
    21,856/47,411 = 47,411/x
  3. Step 3: Cross multiply
    21,856x = 47,411 × 47,411
  4. Step 4: Simplify right side
    21,856x = 2,247,802,921
  5. Step 5: Solve for x
    x = 2,247,802,921/21,856
  6. Step 6: Final answer
    x = 102,846.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.