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Finding the Third Proportional to 30,692.04 and 67,836.87

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Solution

The third proportional to 30,692.04 and 67,836.87 is: 149,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.04 : 67,836.87 = 67,836.87 : x
  2. Step 2: Convert to fraction form
    30,692.04/67,836.87 = 67,836.87/x
  3. Step 3: Cross multiply
    30,692.04x = 67,836.87 × 67,836.87
  4. Step 4: Simplify right side
    30,692.04x = 4,601,840,549.81
  5. Step 5: Solve for x
    x = 4,601,840,549.81/30,692.04
  6. Step 6: Final answer
    x = 149,935.97

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.