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Finding the Third Proportional to 29,420 and 55,864

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Solution

The third proportional to 29,420 and 55,864 is: 106,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,420 : 55,864 = 55,864 : x
  2. Step 2: Convert to fraction form
    29,420/55,864 = 55,864/x
  3. Step 3: Cross multiply
    29,420x = 55,864 × 55,864
  4. Step 4: Simplify right side
    29,420x = 3,120,786,496
  5. Step 5: Solve for x
    x = 3,120,786,496/29,420
  6. Step 6: Final answer
    x = 106,077.04

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.