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Finding the Third Proportional to 20,675.25 and 32,858.16

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Solution

The third proportional to 20,675.25 and 32,858.16 is: 52,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.25 : 32,858.16 = 32,858.16 : x
  2. Step 2: Convert to fraction form
    20,675.25/32,858.16 = 32,858.16/x
  3. Step 3: Cross multiply
    20,675.25x = 32,858.16 × 32,858.16
  4. Step 4: Simplify right side
    20,675.25x = 1,079,658,432.15
  5. Step 5: Solve for x
    x = 1,079,658,432.15/20,675.25
  6. Step 6: Final answer
    x = 52,219.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.