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Finding the Third Proportional to 32,904 and 44,682.75

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Solution

The third proportional to 32,904 and 44,682.75 is: 60,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904 : 44,682.75 = 44,682.75 : x
  2. Step 2: Convert to fraction form
    32,904/44,682.75 = 44,682.75/x
  3. Step 3: Cross multiply
    32,904x = 44,682.75 × 44,682.75
  4. Step 4: Simplify right side
    32,904x = 1,996,548,147.56
  5. Step 5: Solve for x
    x = 1,996,548,147.56/32,904
  6. Step 6: Final answer
    x = 60,677.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.