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Finding the Third Proportional to 12,951 and 27,211.50

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Solution

The third proportional to 12,951 and 27,211.50 is: 57,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951 : 27,211.50 = 27,211.50 : x
  2. Step 2: Convert to fraction form
    12,951/27,211.50 = 27,211.50/x
  3. Step 3: Cross multiply
    12,951x = 27,211.50 × 27,211.50
  4. Step 4: Simplify right side
    12,951x = 740,465,732.25
  5. Step 5: Solve for x
    x = 740,465,732.25/12,951
  6. Step 6: Final answer
    x = 57,174.41

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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.