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Finding the Third Proportional to 32,539.50 and 44,201.25

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Solution

The third proportional to 32,539.50 and 44,201.25 is: 60,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,539.50 : 44,201.25 = 44,201.25 : x
  2. Step 2: Convert to fraction form
    32,539.50/44,201.25 = 44,201.25/x
  3. Step 3: Cross multiply
    32,539.50x = 44,201.25 × 44,201.25
  4. Step 4: Simplify right side
    32,539.50x = 1,953,750,501.56
  5. Step 5: Solve for x
    x = 1,953,750,501.56/32,539.50
  6. Step 6: Final answer
    x = 60,042.43

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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.