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Finding the Third Proportional to 30,847.50 and 67,359.94

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Solution

The third proportional to 30,847.50 and 67,359.94 is: 147,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.50 : 67,359.94 = 67,359.94 : x
  2. Step 2: Convert to fraction form
    30,847.50/67,359.94 = 67,359.94/x
  3. Step 3: Cross multiply
    30,847.50x = 67,359.94 × 67,359.94
  4. Step 4: Simplify right side
    30,847.50x = 4,537,361,180.00
  5. Step 5: Solve for x
    x = 4,537,361,180.00/30,847.50
  6. Step 6: Final answer
    x = 147,090.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.