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Finding the Third Proportional to 20,727 and 32,800.50

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Solution

The third proportional to 20,727 and 32,800.50 is: 51,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727 : 32,800.50 = 32,800.50 : x
  2. Step 2: Convert to fraction form
    20,727/32,800.50 = 32,800.50/x
  3. Step 3: Cross multiply
    20,727x = 32,800.50 × 32,800.50
  4. Step 4: Simplify right side
    20,727x = 1,075,872,800.25
  5. Step 5: Solve for x
    x = 1,075,872,800.25/20,727
  6. Step 6: Final answer
    x = 51,906.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.