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Finding the Third Proportional to 14,118.05 and 30,423.09

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Solution

The third proportional to 14,118.05 and 30,423.09 is: 65,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.05 : 30,423.09 = 30,423.09 : x
  2. Step 2: Convert to fraction form
    14,118.05/30,423.09 = 30,423.09/x
  3. Step 3: Cross multiply
    14,118.05x = 30,423.09 × 30,423.09
  4. Step 4: Simplify right side
    14,118.05x = 925,564,633.32
  5. Step 5: Solve for x
    x = 925,564,633.32/14,118.05
  6. Step 6: Final answer
    x = 65,558.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.