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Finding the Third Proportional to 6,553.41 and 12,548.67

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Solution

The third proportional to 6,553.41 and 12,548.67 is: 24,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.41 : 12,548.67 = 12,548.67 : x
  2. Step 2: Convert to fraction form
    6,553.41/12,548.67 = 12,548.67/x
  3. Step 3: Cross multiply
    6,553.41x = 12,548.67 × 12,548.67
  4. Step 4: Simplify right side
    6,553.41x = 157,469,165.83
  5. Step 5: Solve for x
    x = 157,469,165.83/6,553.41
  6. Step 6: Final answer
    x = 24,028.60

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.