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Finding the Third Proportional to 40,374 and 57,793

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Solution

The third proportional to 40,374 and 57,793 is: 82,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,374 : 57,793 = 57,793 : x
  2. Step 2: Convert to fraction form
    40,374/57,793 = 57,793/x
  3. Step 3: Cross multiply
    40,374x = 57,793 × 57,793
  4. Step 4: Simplify right side
    40,374x = 3,340,030,849
  5. Step 5: Solve for x
    x = 3,340,030,849/40,374
  6. Step 6: Final answer
    x = 82,727.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.