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Finding the Third Proportional to 40,512 and 57,006

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Solution

The third proportional to 40,512 and 57,006 is: 80,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,512 : 57,006 = 57,006 : x
  2. Step 2: Convert to fraction form
    40,512/57,006 = 57,006/x
  3. Step 3: Cross multiply
    40,512x = 57,006 × 57,006
  4. Step 4: Simplify right side
    40,512x = 3,249,684,036
  5. Step 5: Solve for x
    x = 3,249,684,036/40,512
  6. Step 6: Final answer
    x = 80,215.34

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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.