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Finding the Third Proportional to 14,794 and 32,050

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Solution

The third proportional to 14,794 and 32,050 is: 69,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794 : 32,050 = 32,050 : x
  2. Step 2: Convert to fraction form
    14,794/32,050 = 32,050/x
  3. Step 3: Cross multiply
    14,794x = 32,050 × 32,050
  4. Step 4: Simplify right side
    14,794x = 1,027,202,500
  5. Step 5: Solve for x
    x = 1,027,202,500/14,794
  6. Step 6: Final answer
    x = 69,433.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.