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Finding the Third Proportional to 38,443.36 and 79,415.44

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Solution

The third proportional to 38,443.36 and 79,415.44 is: 164,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.36 : 79,415.44 = 79,415.44 : x
  2. Step 2: Convert to fraction form
    38,443.36/79,415.44 = 79,415.44/x
  3. Step 3: Cross multiply
    38,443.36x = 79,415.44 × 79,415.44
  4. Step 4: Simplify right side
    38,443.36x = 6,306,811,713.32
  5. Step 5: Solve for x
    x = 6,306,811,713.32/38,443.36
  6. Step 6: Final answer
    x = 164,054.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.