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Finding the Third Proportional to 11,180 and 22,076

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Solution

The third proportional to 11,180 and 22,076 is: 43,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180 : 22,076 = 22,076 : x
  2. Step 2: Convert to fraction form
    11,180/22,076 = 22,076/x
  3. Step 3: Cross multiply
    11,180x = 22,076 × 22,076
  4. Step 4: Simplify right side
    11,180x = 487,349,776
  5. Step 5: Solve for x
    x = 487,349,776/11,180
  6. Step 6: Final answer
    x = 43,591.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.