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Finding the Third Proportional to 6,938.79 and 10,732.82

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Solution

The third proportional to 6,938.79 and 10,732.82 is: 16,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.79 : 10,732.82 = 10,732.82 : x
  2. Step 2: Convert to fraction form
    6,938.79/10,732.82 = 10,732.82/x
  3. Step 3: Cross multiply
    6,938.79x = 10,732.82 × 10,732.82
  4. Step 4: Simplify right side
    6,938.79x = 115,193,348.01
  5. Step 5: Solve for x
    x = 115,193,348.01/6,938.79
  6. Step 6: Final answer
    x = 16,601.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.