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Finding the Third Proportional to 6,554.67 and 14,146.73

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Solution

The third proportional to 6,554.67 and 14,146.73 is: 30,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.67 : 14,146.73 = 14,146.73 : x
  2. Step 2: Convert to fraction form
    6,554.67/14,146.73 = 14,146.73/x
  3. Step 3: Cross multiply
    6,554.67x = 14,146.73 × 14,146.73
  4. Step 4: Simplify right side
    6,554.67x = 200,130,093.48
  5. Step 5: Solve for x
    x = 200,130,093.48/6,554.67
  6. Step 6: Final answer
    x = 30,532.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.