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Finding the Third Proportional to 32,504.56 and 51,575.44

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Solution

The third proportional to 32,504.56 and 51,575.44 is: 81,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.56 : 51,575.44 = 51,575.44 : x
  2. Step 2: Convert to fraction form
    32,504.56/51,575.44 = 51,575.44/x
  3. Step 3: Cross multiply
    32,504.56x = 51,575.44 × 51,575.44
  4. Step 4: Simplify right side
    32,504.56x = 2,660,025,753.32
  5. Step 5: Solve for x
    x = 2,660,025,753.32/32,504.56
  6. Step 6: Final answer
    x = 81,835.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.