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Finding the Third Proportional to 37,512 and 56,669

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Solution

The third proportional to 37,512 and 56,669 is: 85,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,512 : 56,669 = 56,669 : x
  2. Step 2: Convert to fraction form
    37,512/56,669 = 56,669/x
  3. Step 3: Cross multiply
    37,512x = 56,669 × 56,669
  4. Step 4: Simplify right side
    37,512x = 3,211,375,561
  5. Step 5: Solve for x
    x = 3,211,375,561/37,512
  6. Step 6: Final answer
    x = 85,609.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.