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Finding the Third Proportional to 32,976 and 44,236

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Solution

The third proportional to 32,976 and 44,236 is: 59,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 44,236 = 44,236 : x
  2. Step 2: Convert to fraction form
    32,976/44,236 = 44,236/x
  3. Step 3: Cross multiply
    32,976x = 44,236 × 44,236
  4. Step 4: Simplify right side
    32,976x = 1,956,823,696
  5. Step 5: Solve for x
    x = 1,956,823,696/32,976
  6. Step 6: Final answer
    x = 59,340.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.