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Finding the Third Proportional to 14,111.72 and 30,847.08

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Solution

The third proportional to 14,111.72 and 30,847.08 is: 67,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.72 : 30,847.08 = 30,847.08 : x
  2. Step 2: Convert to fraction form
    14,111.72/30,847.08 = 30,847.08/x
  3. Step 3: Cross multiply
    14,111.72x = 30,847.08 × 30,847.08
  4. Step 4: Simplify right side
    14,111.72x = 951,542,228.85
  5. Step 5: Solve for x
    x = 951,542,228.85/14,111.72
  6. Step 6: Final answer
    x = 67,429.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.