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Finding the Third Proportional to 40,782 and 57,429

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Solution

The third proportional to 40,782 and 57,429 is: 80,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782 : 57,429 = 57,429 : x
  2. Step 2: Convert to fraction form
    40,782/57,429 = 57,429/x
  3. Step 3: Cross multiply
    40,782x = 57,429 × 57,429
  4. Step 4: Simplify right side
    40,782x = 3,298,090,041
  5. Step 5: Solve for x
    x = 3,298,090,041/40,782
  6. Step 6: Final answer
    x = 80,871.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.