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Finding the Third Proportional to 12,957.75 and 28,222.88

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Solution

The third proportional to 12,957.75 and 28,222.88 is: 61,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.75 : 28,222.88 = 28,222.88 : x
  2. Step 2: Convert to fraction form
    12,957.75/28,222.88 = 28,222.88/x
  3. Step 3: Cross multiply
    12,957.75x = 28,222.88 × 28,222.88
  4. Step 4: Simplify right side
    12,957.75x = 796,530,673.27
  5. Step 5: Solve for x
    x = 796,530,673.27/12,957.75
  6. Step 6: Final answer
    x = 61,471.37

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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.