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Finding the Third Proportional to 40,502 and 56,652

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Solution

The third proportional to 40,502 and 56,652 is: 79,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,502 : 56,652 = 56,652 : x
  2. Step 2: Convert to fraction form
    40,502/56,652 = 56,652/x
  3. Step 3: Cross multiply
    40,502x = 56,652 × 56,652
  4. Step 4: Simplify right side
    40,502x = 3,209,449,104
  5. Step 5: Solve for x
    x = 3,209,449,104/40,502
  6. Step 6: Final answer
    x = 79,241.74

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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.