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Finding the Third Proportional to 21,865 and 47,186

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Solution

The third proportional to 21,865 and 47,186 is: 101,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865 : 47,186 = 47,186 : x
  2. Step 2: Convert to fraction form
    21,865/47,186 = 47,186/x
  3. Step 3: Cross multiply
    21,865x = 47,186 × 47,186
  4. Step 4: Simplify right side
    21,865x = 2,226,518,596
  5. Step 5: Solve for x
    x = 2,226,518,596/21,865
  6. Step 6: Final answer
    x = 101,830.26

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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.