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Finding the Third Proportional to 14,011.50 and 30,615

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Solution

The third proportional to 14,011.50 and 30,615 is: 66,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.50 : 30,615 = 30,615 : x
  2. Step 2: Convert to fraction form
    14,011.50/30,615 = 30,615/x
  3. Step 3: Cross multiply
    14,011.50x = 30,615 × 30,615
  4. Step 4: Simplify right side
    14,011.50x = 937,278,225
  5. Step 5: Solve for x
    x = 937,278,225/14,011.50
  6. Step 6: Final answer
    x = 66,893.50

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Why These Related Problems?

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