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Finding the Third Proportional to 19,377 and 39,575.25

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Solution

The third proportional to 19,377 and 39,575.25 is: 80,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,377 : 39,575.25 = 39,575.25 : x
  2. Step 2: Convert to fraction form
    19,377/39,575.25 = 39,575.25/x
  3. Step 3: Cross multiply
    19,377x = 39,575.25 × 39,575.25
  4. Step 4: Simplify right side
    19,377x = 1,566,200,412.56
  5. Step 5: Solve for x
    x = 1,566,200,412.56/19,377
  6. Step 6: Final answer
    x = 80,827.81

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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.