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Finding the Third Proportional to 19,374.75 and 41,177.25

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Solution

The third proportional to 19,374.75 and 41,177.25 is: 87,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374.75 : 41,177.25 = 41,177.25 : x
  2. Step 2: Convert to fraction form
    19,374.75/41,177.25 = 41,177.25/x
  3. Step 3: Cross multiply
    19,374.75x = 41,177.25 × 41,177.25
  4. Step 4: Simplify right side
    19,374.75x = 1,695,565,917.56
  5. Step 5: Solve for x
    x = 1,695,565,917.56/19,374.75
  6. Step 6: Final answer
    x = 87,514.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.