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Finding the Third Proportional to 5,957 and 12,960.50

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Solution

The third proportional to 5,957 and 12,960.50 is: 28,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957 : 12,960.50 = 12,960.50 : x
  2. Step 2: Convert to fraction form
    5,957/12,960.50 = 12,960.50/x
  3. Step 3: Cross multiply
    5,957x = 12,960.50 × 12,960.50
  4. Step 4: Simplify right side
    5,957x = 167,974,560.25
  5. Step 5: Solve for x
    x = 167,974,560.25/5,957
  6. Step 6: Final answer
    x = 28,197.84

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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.