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Finding the Third Proportional to 40,327 and 56,406

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Solution

The third proportional to 40,327 and 56,406 is: 78,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,327 : 56,406 = 56,406 : x
  2. Step 2: Convert to fraction form
    40,327/56,406 = 56,406/x
  3. Step 3: Cross multiply
    40,327x = 56,406 × 56,406
  4. Step 4: Simplify right side
    40,327x = 3,181,636,836
  5. Step 5: Solve for x
    x = 3,181,636,836/40,327
  6. Step 6: Final answer
    x = 78,895.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.