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Finding the Third Proportional to 22,092 and 47,260

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Solution

The third proportional to 22,092 and 47,260 is: 101,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092 : 47,260 = 47,260 : x
  2. Step 2: Convert to fraction form
    22,092/47,260 = 47,260/x
  3. Step 3: Cross multiply
    22,092x = 47,260 × 47,260
  4. Step 4: Simplify right side
    22,092x = 2,233,507,600
  5. Step 5: Solve for x
    x = 2,233,507,600/22,092
  6. Step 6: Final answer
    x = 101,100.29

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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.