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Finding the Third Proportional to 32,197.50 and 50,260.50

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Solution

The third proportional to 32,197.50 and 50,260.50 is: 78,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.50 : 50,260.50 = 50,260.50 : x
  2. Step 2: Convert to fraction form
    32,197.50/50,260.50 = 50,260.50/x
  3. Step 3: Cross multiply
    32,197.50x = 50,260.50 × 50,260.50
  4. Step 4: Simplify right side
    32,197.50x = 2,526,117,860.25
  5. Step 5: Solve for x
    x = 2,526,117,860.25/32,197.50
  6. Step 6: Final answer
    x = 78,456.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.