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Finding the Third Proportional to 32,305.50 and 39,433.50

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Solution

The third proportional to 32,305.50 and 39,433.50 is: 48,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.50 : 39,433.50 = 39,433.50 : x
  2. Step 2: Convert to fraction form
    32,305.50/39,433.50 = 39,433.50/x
  3. Step 3: Cross multiply
    32,305.50x = 39,433.50 × 39,433.50
  4. Step 4: Simplify right side
    32,305.50x = 1,555,000,922.25
  5. Step 5: Solve for x
    x = 1,555,000,922.25/32,305.50
  6. Step 6: Final answer
    x = 48,134.25

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.