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Finding the Third Proportional to 19,806.50 and 30,925

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Solution

The third proportional to 19,806.50 and 30,925 is: 48,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.50 : 30,925 = 30,925 : x
  2. Step 2: Convert to fraction form
    19,806.50/30,925 = 30,925/x
  3. Step 3: Cross multiply
    19,806.50x = 30,925 × 30,925
  4. Step 4: Simplify right side
    19,806.50x = 956,355,625
  5. Step 5: Solve for x
    x = 956,355,625/19,806.50
  6. Step 6: Final answer
    x = 48,284.94

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