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Finding the Third Proportional to 22,346 and 44,128

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Solution

The third proportional to 22,346 and 44,128 is: 87,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346 : 44,128 = 44,128 : x
  2. Step 2: Convert to fraction form
    22,346/44,128 = 44,128/x
  3. Step 3: Cross multiply
    22,346x = 44,128 × 44,128
  4. Step 4: Simplify right side
    22,346x = 1,947,280,384
  5. Step 5: Solve for x
    x = 1,947,280,384/22,346
  6. Step 6: Final answer
    x = 87,142.24

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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.