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Finding the Third Proportional to 22,186 and 47,460

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Solution

The third proportional to 22,186 and 47,460 is: 101,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186 : 47,460 = 47,460 : x
  2. Step 2: Convert to fraction form
    22,186/47,460 = 47,460/x
  3. Step 3: Cross multiply
    22,186x = 47,460 × 47,460
  4. Step 4: Simplify right side
    22,186x = 2,252,451,600
  5. Step 5: Solve for x
    x = 2,252,451,600/22,186
  6. Step 6: Final answer
    x = 101,525.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.