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Finding the Third Proportional to 34,654.50 and 79,812.56

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Solution

The third proportional to 34,654.50 and 79,812.56 is: 183,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.50 : 79,812.56 = 79,812.56 : x
  2. Step 2: Convert to fraction form
    34,654.50/79,812.56 = 79,812.56/x
  3. Step 3: Cross multiply
    34,654.50x = 79,812.56 × 79,812.56
  4. Step 4: Simplify right side
    34,654.50x = 6,370,045,132.82
  5. Step 5: Solve for x
    x = 6,370,045,132.82/34,654.50
  6. Step 6: Final answer
    x = 183,815.81

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.