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Finding the Third Proportional to 14,406.50 and 30,811

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Solution

The third proportional to 14,406.50 and 30,811 is: 65,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.50 : 30,811 = 30,811 : x
  2. Step 2: Convert to fraction form
    14,406.50/30,811 = 30,811/x
  3. Step 3: Cross multiply
    14,406.50x = 30,811 × 30,811
  4. Step 4: Simplify right side
    14,406.50x = 949,317,721
  5. Step 5: Solve for x
    x = 949,317,721/14,406.50
  6. Step 6: Final answer
    x = 65,895.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.