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Finding the Third Proportional to 34,651.69 and 74,595.94

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Solution

The third proportional to 34,651.69 and 74,595.94 is: 160,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.69 : 74,595.94 = 74,595.94 : x
  2. Step 2: Convert to fraction form
    34,651.69/74,595.94 = 74,595.94/x
  3. Step 3: Cross multiply
    34,651.69x = 74,595.94 × 74,595.94
  4. Step 4: Simplify right side
    34,651.69x = 5,564,553,891.50
  5. Step 5: Solve for x
    x = 5,564,553,891.50/34,651.69
  6. Step 6: Final answer
    x = 160,585.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.