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Finding the Third Proportional to 32,245 and 43,787.88

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Solution

The third proportional to 32,245 and 43,787.88 is: 59,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245 : 43,787.88 = 43,787.88 : x
  2. Step 2: Convert to fraction form
    32,245/43,787.88 = 43,787.88/x
  3. Step 3: Cross multiply
    32,245x = 43,787.88 × 43,787.88
  4. Step 4: Simplify right side
    32,245x = 1,917,377,997.02
  5. Step 5: Solve for x
    x = 1,917,377,997.02/32,245
  6. Step 6: Final answer
    x = 59,462.80

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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.