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Finding the Third Proportional to 14,027.75 and 30,835

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Solution

The third proportional to 14,027.75 and 30,835 is: 67,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.75 : 30,835 = 30,835 : x
  2. Step 2: Convert to fraction form
    14,027.75/30,835 = 30,835/x
  3. Step 3: Cross multiply
    14,027.75x = 30,835 × 30,835
  4. Step 4: Simplify right side
    14,027.75x = 950,797,225
  5. Step 5: Solve for x
    x = 950,797,225/14,027.75
  6. Step 6: Final answer
    x = 67,779.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.