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Finding the Third Proportional to 40,782 and 54,885

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Solution

The third proportional to 40,782 and 54,885 is: 73,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782 : 54,885 = 54,885 : x
  2. Step 2: Convert to fraction form
    40,782/54,885 = 54,885/x
  3. Step 3: Cross multiply
    40,782x = 54,885 × 54,885
  4. Step 4: Simplify right side
    40,782x = 3,012,363,225
  5. Step 5: Solve for x
    x = 3,012,363,225/40,782
  6. Step 6: Final answer
    x = 73,865.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.