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Finding the Third Proportional to 14,385.09 and 31,384.97

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Solution

The third proportional to 14,385.09 and 31,384.97 is: 68,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.09 : 31,384.97 = 31,384.97 : x
  2. Step 2: Convert to fraction form
    14,385.09/31,384.97 = 31,384.97/x
  3. Step 3: Cross multiply
    14,385.09x = 31,384.97 × 31,384.97
  4. Step 4: Simplify right side
    14,385.09x = 985,016,263.44
  5. Step 5: Solve for x
    x = 985,016,263.44/14,385.09
  6. Step 6: Final answer
    x = 68,474.79

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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.