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Finding the Third Proportional to 30,890.53 and 67,795.31

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Solution

The third proportional to 30,890.53 and 67,795.31 is: 148,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.53 : 67,795.31 = 67,795.31 : x
  2. Step 2: Convert to fraction form
    30,890.53/67,795.31 = 67,795.31/x
  3. Step 3: Cross multiply
    30,890.53x = 67,795.31 × 67,795.31
  4. Step 4: Simplify right side
    30,890.53x = 4,596,204,396.97
  5. Step 5: Solve for x
    x = 4,596,204,396.97/30,890.53
  6. Step 6: Final answer
    x = 148,790.07

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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.