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Finding the Third Proportional to 20,596.50 and 34,087.50

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Solution

The third proportional to 20,596.50 and 34,087.50 is: 56,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.50 : 34,087.50 = 34,087.50 : x
  2. Step 2: Convert to fraction form
    20,596.50/34,087.50 = 34,087.50/x
  3. Step 3: Cross multiply
    20,596.50x = 34,087.50 × 34,087.50
  4. Step 4: Simplify right side
    20,596.50x = 1,161,957,656.25
  5. Step 5: Solve for x
    x = 1,161,957,656.25/20,596.50
  6. Step 6: Final answer
    x = 56,415.30

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.