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Finding the Third Proportional to 32,647 and 48,847

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Solution

The third proportional to 32,647 and 48,847 is: 73,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647 : 48,847 = 48,847 : x
  2. Step 2: Convert to fraction form
    32,647/48,847 = 48,847/x
  3. Step 3: Cross multiply
    32,647x = 48,847 × 48,847
  4. Step 4: Simplify right side
    32,647x = 2,386,029,409
  5. Step 5: Solve for x
    x = 2,386,029,409/32,647
  6. Step 6: Final answer
    x = 73,085.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.