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Finding the Third Proportional to 38,342.44 and 78,544.13

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Solution

The third proportional to 38,342.44 and 78,544.13 is: 160,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.44 : 78,544.13 = 78,544.13 : x
  2. Step 2: Convert to fraction form
    38,342.44/78,544.13 = 78,544.13/x
  3. Step 3: Cross multiply
    38,342.44x = 78,544.13 × 78,544.13
  4. Step 4: Simplify right side
    38,342.44x = 6,169,179,572.02
  5. Step 5: Solve for x
    x = 6,169,179,572.02/38,342.44
  6. Step 6: Final answer
    x = 160,896.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.