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Finding the Third Proportional to 32,926.50 and 72,125.44

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Solution

The third proportional to 32,926.50 and 72,125.44 is: 157,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926.50 : 72,125.44 = 72,125.44 : x
  2. Step 2: Convert to fraction form
    32,926.50/72,125.44 = 72,125.44/x
  3. Step 3: Cross multiply
    32,926.50x = 72,125.44 × 72,125.44
  4. Step 4: Simplify right side
    32,926.50x = 5,202,078,734.57
  5. Step 5: Solve for x
    x = 5,202,078,734.57/32,926.50
  6. Step 6: Final answer
    x = 157,990.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.