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Finding the Third Proportional to 38,796.47 and 79,225.59

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Solution

The third proportional to 38,796.47 and 79,225.59 is: 161,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,796.47 : 79,225.59 = 79,225.59 : x
  2. Step 2: Convert to fraction form
    38,796.47/79,225.59 = 79,225.59/x
  3. Step 3: Cross multiply
    38,796.47x = 79,225.59 × 79,225.59
  4. Step 4: Simplify right side
    38,796.47x = 6,276,694,705.04
  5. Step 5: Solve for x
    x = 6,276,694,705.04/38,796.47
  6. Step 6: Final answer
    x = 161,785.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.