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Finding the Third Proportional to 30,991.50 and 67,134

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Solution

The third proportional to 30,991.50 and 67,134 is: 145,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.50 : 67,134 = 67,134 : x
  2. Step 2: Convert to fraction form
    30,991.50/67,134 = 67,134/x
  3. Step 3: Cross multiply
    30,991.50x = 67,134 × 67,134
  4. Step 4: Simplify right side
    30,991.50x = 4,506,973,956
  5. Step 5: Solve for x
    x = 4,506,973,956/30,991.50
  6. Step 6: Final answer
    x = 145,426.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.