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Finding the Third Proportional to 32,018 and 47,404

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Solution

The third proportional to 32,018 and 47,404 is: 70,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018 : 47,404 = 47,404 : x
  2. Step 2: Convert to fraction form
    32,018/47,404 = 47,404/x
  3. Step 3: Cross multiply
    32,018x = 47,404 × 47,404
  4. Step 4: Simplify right side
    32,018x = 2,247,139,216
  5. Step 5: Solve for x
    x = 2,247,139,216/32,018
  6. Step 6: Final answer
    x = 70,183.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.