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Finding the Third Proportional to 12,658.50 and 27,548.44

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Solution

The third proportional to 12,658.50 and 27,548.44 is: 59,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.50 : 27,548.44 = 27,548.44 : x
  2. Step 2: Convert to fraction form
    12,658.50/27,548.44 = 27,548.44/x
  3. Step 3: Cross multiply
    12,658.50x = 27,548.44 × 27,548.44
  4. Step 4: Simplify right side
    12,658.50x = 758,916,408.69
  5. Step 5: Solve for x
    x = 758,916,408.69/12,658.50
  6. Step 6: Final answer
    x = 59,953.11

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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.