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Finding the Third Proportional to 51,647.50 and 79,806.75

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Solution

The third proportional to 51,647.50 and 79,806.75 is: 123,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647.50 : 79,806.75 = 79,806.75 : x
  2. Step 2: Convert to fraction form
    51,647.50/79,806.75 = 79,806.75/x
  3. Step 3: Cross multiply
    51,647.50x = 79,806.75 × 79,806.75
  4. Step 4: Simplify right side
    51,647.50x = 6,369,117,345.56
  5. Step 5: Solve for x
    x = 6,369,117,345.56/51,647.50
  6. Step 6: Final answer
    x = 123,318.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.