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Finding the Third Proportional to 30,940.73 and 67,798.27

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Solution

The third proportional to 30,940.73 and 67,798.27 is: 148,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.73 : 67,798.27 = 67,798.27 : x
  2. Step 2: Convert to fraction form
    30,940.73/67,798.27 = 67,798.27/x
  3. Step 3: Cross multiply
    30,940.73x = 67,798.27 × 67,798.27
  4. Step 4: Simplify right side
    30,940.73x = 4,596,604,821.76
  5. Step 5: Solve for x
    x = 4,596,604,821.76/30,940.73
  6. Step 6: Final answer
    x = 148,561.59

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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.