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Finding the Third Proportional to 19,784.25 and 40,374

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Solution

The third proportional to 19,784.25 and 40,374 is: 82,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.25 : 40,374 = 40,374 : x
  2. Step 2: Convert to fraction form
    19,784.25/40,374 = 40,374/x
  3. Step 3: Cross multiply
    19,784.25x = 40,374 × 40,374
  4. Step 4: Simplify right side
    19,784.25x = 1,630,059,876
  5. Step 5: Solve for x
    x = 1,630,059,876/19,784.25
  6. Step 6: Final answer
    x = 82,391.80

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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.