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Finding the Third Proportional to 6,938.30 and 14,601.80

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Solution

The third proportional to 6,938.30 and 14,601.80 is: 30,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.30 : 14,601.80 = 14,601.80 : x
  2. Step 2: Convert to fraction form
    6,938.30/14,601.80 = 14,601.80/x
  3. Step 3: Cross multiply
    6,938.30x = 14,601.80 × 14,601.80
  4. Step 4: Simplify right side
    6,938.30x = 213,212,471.98
  5. Step 5: Solve for x
    x = 213,212,471.98/6,938.30
  6. Step 6: Final answer
    x = 30,729.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.